Professor Wolfgang Schief

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Research Student (MPI for Physics and Astrophysics Garching, Germany) 1990 -- 1991
Research Student (LUT, England) 1991 -- 1992
Research Associate (��¼�) 1993 -- 1996
Senior Research Associate (��¼�) 1997 -- 1998
Senior Lecturer (��¼�) 1999
Queen Elizabeth II Research Fellow (��¼�) 1999 -- 2004
Senior Lecturer (��¼�) 2004
Associate Professor (��¼�) 2005 -- 2006
Professor (TU Berlin, Germany) 2006 -- 2010
Professor (��¼�) 2010 -- to date.

Phone

9385 3131

E-mail

w.schief@unsw.edu.au

Location

School of Mathematics and Statistics University of New South Wales Sydney NSW 2052 The Anita B. Lawrence Centre Room 4069

Books | 2002

Rogers CW; Schief WK, 2002, Backlund and Darboux Transformations, 1, Cambridge University Press, UK
Book Chapters | 2025

Rogers C; Schief WK, 2025, 'Bäcklund and Darboux Transformations. Applications to Nonlinear Physical Systems', in Encyclopedia of Mathematical Physics, Elsevier, pp. 56 - 65,

Book Chapters | 2024

Rogers C; Schief WK, 2024, 'Bäcklund and Darboux Transformations. Applications to Nonlinear Physical Systems', in Encyclopedia of Mathematical Physics Second Edition Volumes 1 5, pp. V3 - 65,

Book Chapters | 2018

Rogers C; Schief WK, 2018, 'On a novel resonant ermakov-nls system: Painlevé reduction', in Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, pp. 1081 - 1098,

Book Chapters | 2018

Schief WK; Rogers C, 2018, 'Ermakov-type systems in nonlinear physics and continuum mechanics', in Nonlinear Systems and Their Remarkable Mathematical Structures, CRC Press, pp. 541 - 541

Book Chapters | 1999

Bobenko AI; Schief WK, 1999, 'Discrete indefinite affine spheres', in Discrete integrable geometry and physics, edn. Original, Oxford University Press, Oxford, UK, pp. 113 - 136

Book Chapters | 1996

Schief WK; Rogers CW, 1996, 'On a Laplace sequence of nonlinear integrable Ernst-type equations', in Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman, in Progress in nonlinear Differential equations and their applications, Birkhauser Verlag, Boston, pp. 315 - 321

Book Chapters | 1993

Oevel W; Schief W, 1993, 'Darboux Theorems and the KP Hierarchy', in Applications of Analytic and Geometric Methods to Nonlinear Differential Equations, Springer Netherlands, pp. 193 - 206,
Journal articles | 2025

Schief WK; Hertrich-Jeromin U; Konopelchenko BG, 2025, 'Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation', Journal of Geometry and Physics, 207,

Journal articles | 2024

Konopelchenko BG; Schief WK, 2024, 'Canonical reductions of the TED equation: integrable deformations of heavenly-type equations', Journal of Physics A Mathematical and Theoretical, 57,

Journal articles | 2023

Inoguchi JI; Jikumaru Y; Kajiwara K; Miura KT; Schief WK, 2023, 'Log-aesthetic curves: Similarity geometry, integrable discretization and variational principles[Formula presented]', Computer Aided Geometric Design, 105,

Journal articles | 2023

Rogers C; Schief WK, 2023, 'A two-dimensional magnetohydrodynamic system: geometric decomposition and canonical reduction', Meccanica, 58, pp. 1021 - 1029,

Journal articles | 2023

Rogers C; Schief WK, 2023, 'Relativistic perfect fluids: integrability of the classical Taub system', Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, 479, pp. 20220645,

Journal articles | 2022

Demskoi DK; Rogers C; Schief WK, 2022, 'On 2+1-dimensional fibre-reinforced fluid motions: a magnetohydrodynamics nexus', Acta Mechanica, 233, pp. 4047 - 4062,

Journal articles | 2021

Akopyan AV; Bobenko AI; Schief WK; Techter J, 2021, 'On Mutually Diagonal Nets on (Confocal) Quadrics and 3-Dimensional Webs', Discrete and Computational Geometry, 66, pp. 938 - 976,

Journal articles | 2021

Demskoi DK; Schief WK, 2021, 'On steady motions of an ideal fibre-reinforced fluid in a curved stratum. Geometry and integrability', Journal of Physics A Mathematical and Theoretical, 54, pp. 505205,

Journal articles | 2021

Hoffmann T; Schief WK; Steinmeier J, 2021, 'On Discrete Conjugate Semi-Geodesic Nets', International Mathematics Research Notices, 2022,

Journal articles | 2021

Konopelchenko BG; Schief WK; Szereszewski A, 2021, 'Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates', Classical and Quantum Gravity, 38, pp. 1 - 31,

Journal articles | 2020

Bobenko AI; Schief WK; Techter J, 2020, 'Checkerboard incircular nets: Laguerre geometry and parametrisation', Geometriae Dedicata, 204, pp. 97 - 129,

Journal articles | 2020

Demskoi DK; Schief WK, 2020, 'On non-steady planar motions of fibre-reinforced fluids. Geometry and integrable structure', Journal of Physics A: Mathematical and Theoretical, 53, pp. 1 - 13,

Journal articles | 2020

Rogers C; Ruggeri T; Schief WK, 2020, 'On relativistic gasdynamics: Invariance under a class of reciprocal-type transformations and integrable Heisenberg spin connections: On relativistic gasdynamics', Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, 476, pp. 20200487,

Journal articles | 2020

Rogers C; Schief WK; Malomed B, 2020, 'On modulated coupled systems. Canonical reduction via reciprocal transformations', Communications in Nonlinear Science and Numerical Simulation, 83, pp. 105091,

Journal articles | 2019

Konopelchenko BG; Schief WK, 2019, 'On an integrable multi-dimensionally consistent 2n+2n-dimensional heavenly-type equation', Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, 475, pp. 20190091,

Journal articles | 2018

Bobenko AI; Schief WK; Suris YB; Techter J, 2018, 'On a Discretization of Confocal Quadrics. A Geometric Approach to General Parametrizations', International Mathematics Research Notices, 2020, pp. 10180 - 10230,

Journal articles | 2018

Inoguchi JI; Kajiwara K; Miura KT; Sato M; Schief WK; Shimizu Y, 2018, 'Log-aesthetic curves as similarity geometric analogue of Euler's elasticae', Computer Aided Geometric Design, 61, pp. 1 - 5,

Journal articles | 2018

McCarthy A; Schief WK, 2018, 'Discrete projective minimal surfaces', Advances in Mathematics, 336, pp. 1 - 37,

Journal articles | 2018

Schief WK; Szereszewski A, 2018, 'Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system', Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, 474, pp. 20170770,

Journal articles | 2017

Hanke M; Penev S; Schief W; Weissensteiner A, 2017, 'Random orthogonal matrix simulation with exact means, covariances, and multivariate skewness', European Journal of Operational Research, 263, pp. 510 - 523,

Journal articles | 2017

McCarthy A; Schief WK, 2017, 'On the Combinatorics of Demoulin Transforms and (Discrete) Projective Minimal Surfaces', Discrete and Computational Geometry, 57, pp. 215 - 230,

Journal articles | 2017

Schief WK, 2017, 'Gaussian and mean curvatures for discrete asymptotic nets', Journal of Geometry and Physics, 114, pp. 109 - 123,

Journal articles | 2016

Bobenko AI; Schief WK, 2016, 'Circle Complexes and the Discrete CKP Equation', International Mathematics Research Notices, 2017, pp. 1504 - 1561,

Journal articles | 2016

Rogers C; Schief WK, 2016, 'On Ermakov–Painlevé II systems. Integrable reduction', Meccanica, 51, pp. 2967 - 2974,

Journal articles | 2015

Bobenko AI; Schief WK; Suris YB; Techter J, 2015, 'On a discretization of confocal quadrics. I. An integrable systems approach', Journal of Integrable Systems, 1, pp. xyw005,

Journal articles | 2015

Bobenko AI; Schief WK, 2015, 'Discrete line complexes and integrable evolution of minors', Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, 471, pp. 20140819,

Journal articles | 2015

Huhnen-Venedey E; Schief WK, 2015, 'On weingarten transformations of hyperbolic nets', International Mathematics Research Notices, 2015, pp. 2021 - 2081,

Journal articles | 2015

King AD; Schief WK, 2015, 'Bianchi hypercubes and a geometric unification of the hirota and miwa equations', International Mathematics Research Notices, 2015, pp. 6842 - 6878,

Journal articles | 2015

Kodama Y; Konopelchenko B; Schief WK, 2015, 'Critical points, Lauricella functions and Whitham-type equations', Journal of Physics A Mathematical and Theoretical, 48,

Journal articles | 2015

Schief W, 2015, 'Meistersterne in der FUßball-Bundesliga', Mitteilungen der Deutschen Mathematiker-Vereinigung, 23,

Journal articles | 2014

Konopelchenko BG; Schief WK, 2014, 'Integrable discretization of hodograph-type systems, hyperelliptic integrals and Whitham equations', Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, 470,

Journal articles | 2014

Rogers C; Schief WK, 2014, 'On a boussinesq capillarity system: Hamiltonian reductions and associated quartic geometries', Studies in Applied Mathematics, 132, pp. 1 - 12,

Journal articles | 2014

Rogers C; Schief WK, 2014, 'On q-Gaussian Integrable Hamiltonian Reductions in Anisentropic Magneto-gasdynamics', Acta Applicandae Mathematicae,

Journal articles | 2014

Rogers C; Schief WK, 2014, 'On q-Gaussian Integrable Hamiltonian Reductions in Anisentropic Magneto-gasdynamics', Acta Applicandae Mathematicae, 132, pp. 515 - 525,

Journal articles | 2014

Rogers C; Schief WK, 2014, 'The classical Korteweg capillarity system: Geometry and invariant transformations', Journal of Physics A Mathematical and Theoretical, 47,

Journal articles | 2014

Schief WK, 2014, 'Integrable structure in discrete shell membrane theory', Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, 470,

Journal articles | 2013

Schief WK; An H; Rogers C, 2013, 'Universal and integrable aspects of an elliptic vortex representation in 2+1-dimensional magneto-gasdynamics', Studies in Applied Mathematics, 130, pp. 49 - 79,

Journal articles | 2012

King AD; Schief WK, 2012, 'Clifford lattices and a conformal generalization of Desargues' theorem', Journal of Geometry and Physics, 62, pp. 1088 - 1096,

Journal articles | 2012

Rogers CW; Schief WK, 2012, 'Connection of an integrable inhomogeneous Heisenberg spin equation to a hydrodynamic-type system with collision term', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 45, pp. Article number 432002,

Journal articles | 2012

Schief WK; Rogers CW, 2012, 'The Euler Equations of Spatial Gasdynamics and the Integrable Heisenberg Spin Equation', Studies in Applied Mathematics, 128, pp. 407 - 419,

Journal articles | 2011

Rogers CW; Schief WK, 2011, 'On the integrability of a Hamiltonian reduction of a 2+1-dimensional non-isothermal rotating gas cloud system', Nonlinearity, 24, pp. 3165 - 3178,

Journal articles | 2011

Rogers CW; Schief WK, 2011, 'The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability', Journal of mathematical physics, 52, pp. 083701 (20pp),

Journal articles | 2010

Bass L; Nimmo J; Rogers CW; Schief WK, 2010, 'Electrical structures of interfaces: a Painlevé II model', Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences, 466, pp. 2117 - 2136

Journal articles | 2010

Rogers C; Schief WK, 2010, 'Integrable Structure in the Theory of Stress Concentration in Shear-Strained Nonlinear Elastic Materials', STUDIES IN APPLIED MATHEMATICS, 125, pp. 39 - 53,

Journal articles | 2010

Rogers CW; Schief WK; Szereszewski A, 2010, 'Loop soliton interaction in an integrable nonlinear telegraphy model: Reciprocal and Bäcklund transformations', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43, pp. 385210 (16pp),

Journal articles | 2010

Rogers CW; Schief WK, 2010, 'Backlund transformations and superposition principles in nonlinear elastodymics', Studies in Applied Mathematics, 124, pp. 137 - 149,

Journal articles | 2010

Rogers CW; Schief WK, 2010, 'Integrable structure in the theory of stress concentration in shear-strained nonlinear elastic materials', Studies in Applied Mathematics, 125, pp. 39 - 53,

Journal articles | 2010

Schief WK; Rogers CW, 2010, 'Modulated waves and helicoidal pseudospherical surfaces in nonlinear inhomogeneous elasticity', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43, pp. 105206(12pp),

Journal articles | 2009

Rogers C; Schief WK, 2009, 'On a Bernoulli-integrable magnetohydrodynamic system', Zeitschrift Fur Angewandte Mathematik Und Physik, 60, pp. 608 - 620,

Journal articles | 2009

Rogers CW; Schief WK, 2009, 'On a Bernoulli-integrable magnetohydrodynamic system', Zeitschrift fur angewandte Mathematik und Physik, 60, pp. 608 - 620

Journal articles | 2009

Schief WK; Konopelchenko BG, 2009, 'A novel generalization of Clifford`s classical point-circle configuration. Geometric interpretation of the quaternionic discrete Schwarzian Kadomtsev-Petviashvili equation', Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences, 465, pp. 1291 - 1308

Journal articles | 2009

Schief WK; Szereszewski A; Rogers CW, 2009, 'On shell membranes of Enneper type: generalized Dupin cyclides', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 42, pp. 404016

Journal articles | 2007

Conte R; Rogers CW; Schief WK, 2007, 'Painleve structure of a multi-ion electrodiffusion system', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 40, pp. 1031 - 1040

Journal articles | 2007

Lee JH; Pashaev OK; Rogers CW; Schief WK, 2007, 'The resonant nonlinear Schrodinger equation in cold plasma physics. Application of Backlund-Darboux transformations and superposition principles', Journal of Plasma Physics, 73, pp. 257 - 272

Journal articles | 2007

Mentrelli A; Rogers C; Ruggeri T; Schief WK, 2007, 'On two-pulse and shock evolution in a class of ideally hard elastic materials', Asymptotic Methods in Nonlinear Wave Phenomena - In Honor of the 65th Birthday of Antonio Greco, pp. 132 - 143

Journal articles | 2007

Rogers CW; Schief WK; Chow KW, 2007, 'A novel class of model constitutive laws in nonlinear elasticity construction via Loewner theory', Theoretical and Mathematical Physics, 152, pp. 1030 - 1042

Journal articles | 2007

Schief WK; Rogers C; Murugesh S, 2007, 'On the kinematics of 2+1-dimensional motions of a fibre-reinforced fluid. Integrable connections', QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 60, pp. 49 - 64,

Journal articles | 2007

Schief WK; Rogers CW; Murugesh S, 2007, 'On the kinematics of 2+1-dimensional motions of a fibre-reinforced fluid. Integrable connections', Quarterly Journal of Mechanics and Applied Mathematics, 60, pp. 49 - 64,

Journal articles | 2007

Schief WK; Szereszewski A; Rogers C, 2007, 'The Laḿ equation in shell membrane theory', Journal of Mathematical Physics, 48,

Journal articles | 2007

Schief WK; Szereszewski A; Rogers CW, 2007, 'The Lame equation in shell membrane theory', Journal of mathematical physics, 48, pp. 073510

Journal articles | 2007

Schief WK, 2007, 'Discrete Chebyshev nets and a universal permutability theorem', Journal of Physics A Mathematical and Theoretical, 40, pp. 4775 - 4801,

Journal articles | 2006

Chow KP; Mak CC; Rogers CW; Schief WK, 2006, 'Doubly periodic and multiple pole solutions of the sinh-Poisson equation: Application of reciprocal transformations in subsonic gas dynamics', Journal of Computational and Applied Mathematics, 190, pp. 114 - 126

Journal articles | 2006

King A; Schief WK, 2006, 'Application of an incidence theorem for conics: Cauchy problem and integrability of the dCKP equation', Journal of Physics A - Mathematical and General, 39, pp. 1899 - 1913

Journal articles | 2006

McMonnies CW; Schief WK, 2006, 'Biomechanically Coupled Curvature Transfer in Normal and Keratoconus Corneal Collagen', CLAO Journal, 32, pp. 51 - 62

Journal articles | 2006

Rogers CW; Schief WK, 2006, 'On orthogonal homentropic magnetogasdynamics in two dimensions', ZAMM - Zeitschrift fur Angewandte Mathematik Und Mechanik, 86, pp. 464 - 473

Journal articles | 2006

Schief WK, 2006, 'On a maximum principle for minimal surfaces and their integrable discrete counterparts', Journal of Geometry and Physics, 56, pp. 1484 - 1495

Journal articles | 2005

Fokas AS; Rogers CW; Schief WK, 2005, 'Evolution of methacrylate distribution during wood saturation', Applied Mathematics Letters, 18, pp. 321 - 328,

Journal articles | 2005

Konopelchenko B; Schief WK, 2005, 'Conformal geometry of the (discrete) Schwarzian Davey-Stewartson II Hierarchy', Glasgow Mathematical Journal, 47A, pp. 121 - 131

Journal articles | 2005

Rogers CW; Schief WK; Chow KW; Mak CC, 2005, 'On Tzitzeica vortex streets and their reciprocals in subsonic gasdynamics', Studies in Applied Mathematics, 114, pp. 271 - 283

Journal articles | 2005

Rogers CW; Schief WK, 2005, 'Vortex trains in super-Alfvenic magnetogasdynamics. Application ofreciprocal-Backlund transformations', Journal of Nonlinear Mathematical Physics, 12, pp. 548 - 564

Journal articles | 2005

Schief WK; Kleman M; Rogers CW, 2005, 'On a nonlinear elastic shell system in liquid crystal theory: generalized Willmore surfaces and Dupin cyclides', Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences, 461, pp. 2817 - 2837

Journal articles | 2005

Schief WK; Rogers CW, 2005, 'The Da Rios system under a geometric constraint: the Gilbarg problem', Journal of Geometry and Physics, 54, pp. 286 - 300

Journal articles | 2005

Schief WK, 2005, 'Integrable discrete differential geometry of `plated` membranes in equilibrium', Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences, 461, pp. 3213 - 3229

Journal articles | 2004

Lou SY; Rogers CW; Schief WK, 2004, 'On a nonlinear discretized LKR system: Reductions and underlyingVirasoro symmetry algebras', Studies in Applied Mathematics, 113, pp. 353 - 380

Journal articles | 2004

Rogers CW; Schief WK, 2004, 'Hidden integrability in subsonic gasdynamics. Reciprocal vortex street generation', International Journal of Engineering Science, 42, pp. 2065 - 2078

Journal articles | 2003

King AD; Schief WK, 2003, 'Tetrahedra, octahedra and cubo-octahedra: integrable geometry of multi-ratios', Journal of Physics A - Mathematical and General, 36, pp. 785 - 802

Journal articles | 2003

Lou SY; Rogers CW; Schief WK, 2003, 'Virasoro structure and localized excitations of the LKR system', Journal of mathematical physics, 44, pp. 5869 - 5887

Journal articles | 2003

Rogers CW; Schief WK; Wylie J, 2003, 'Wave propagation in ideally hard inhomogeneous elastic materials associated with pseudospherical surfaces', International Journal of Engineering Science, 41, pp. 1965 - 1974

Journal articles | 2003

Rogers CW; Schief WK, 2003, 'Novel integrable reductions in nonlinear continuum mechanics via geometric constraints', Journal of mathematical physics, 44, pp. 3341 - 3369

Journal articles | 2003

Rogers CW; Schief WK, 2003, 'On the equilibrium of shell membranes under normal loading. Hidden integrability', Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences, 459, pp. 2449 - 2462

Journal articles | 2003

Rogers CW; Schief WK, 2003, 'The kinematics of the planar motion of ideal fiber-reinforced fluids:An integrable reduction and Backlund transformation', Theoretical and Mathematical Physics, 137, pp. 1598 - 1608

Journal articles | 2003

Rogers CW; Schief WK, 2003, 'The kinematics of the planar motion of ideal fibre-reinforced fluids. An integrable reduction and Backlund transformation', Theoretical and Mathematical Physics, 137, pp. 1598 - 1608

Journal articles | 2003

Schief WK; Konopelchenko BG, 2003, 'On the unification of classical and novel integrable surfaces. I Differential geometry', Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences, 459, pp. 67 - 84

Journal articles | 2003

Schief WK; Rogers CW, 2003, 'The kinematics of fibre-reinforced fluids. An integrable reduction', Quarterly Journal of Mechanics and Applied Mathematics, 56, pp. 493 - 512

Journal articles | 2003

Schief WK, 2003, 'Hidden integrability in ideal magnetohydrodynamics. The Pohlmerer-Lund-Regge model', Physics of Plasmas, 10, pp. 2677 - 2685

Journal articles | 2003

Schief WK, 2003, 'Lattice Geometry of the Discrete Darboux, KP, BKP and CKP Equations. Menelaus' and Carnot's Theorems', Journal of Nonlinear Mathematical Physics, 10, pp. 194 - 194,

Journal articles | 2003

Schief WK, 2003, 'Lattice geometry of the discrete Darboux, KP, BKP and CKP equations. Menelaus` and Carnot`s theorems', Journal of Nonlinear Mathematical Physics, 10, pp. 194 - 208

Journal articles | 2003

Schief WK, 2003, 'Nested toroidal flux surfaces in magnetohydrostatics. Generation via soliton theory', Journal of Plasma Physics, 69, pp. 465 - 484

Journal articles | 2003

Schief WK, 2003, 'On the integrability of Bertrand curves and Razzaboni surfaces', Journal of Geometry and Physics, 45, pp. 130 - 150

Journal articles | 2003

Schief WK, 2003, 'On the unification of classical and novel integrable surfaces. II. Difference geometry', Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences, 459, pp. 373 - 391

Journal articles | 2002

Degasperis A; Rogers CW; Schief WK, 2002, 'Isothermic surfaces generated via Backlund and Moutard transformations: Boomeron and Zoomeron connections', Studies in Applied Mathematics, 109, pp. 39 - 65

Journal articles | 2002

Konopelchenko B; Schief WK, 2002, 'Menelaus` theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy', Journal of Physics A - Mathematical and General, 35, pp. 6125 - 6144

Journal articles | 2002

Konopelchenko B; Schief WK, 2002, 'Reciprocal figures, graphical statics, and inversive geometry of the Schwarzian BKP hierarchy', Studies in Applied Mathematics, 109, pp. 89 - 124

Journal articles | 2002

Rogers CW; Schief WK; Hui WH, 2002, 'On complex-lamellar motion of a prim gas', Journal of Mathematical Analysis and Applications, 266, pp. 55 - 69

Journal articles | 2002

Schief WK; Meleshko SV, 2002, 'A truncated Painleve expansion associated with the Tzitzeica equation: consistency and general solution', Physics Letters, Section A, 299, pp. 349 - 352

Journal articles | 2002

Schief WK, 2002, 'On the geometry of the Painleve V equation and a Backlund transformation', ANZIAM Journal, 44, pp. 141 - 148

Journal articles | 2001

Rogers CW; Schief WK, 2001, 'Infinitesimal Backlund transformations of K-Nets. The 2+1-dimensional Sinh-Gordon system', Centre de recherches mathematiques, CRM proceedings and lecture notes, pp. 385 - 392

Journal articles | 2001

Rogers CW; Schief WK, 2001, 'The classical geometry of Backlund transformations, introduction to applications in soliton theory', Centre de recherches mathematiques, CRM proceedings and lecture notes, pp. 53 - 67

Journal articles | 2001

Schief WK, 2001, 'A unified approach to infinitesimal Loewner and Geroch transformations and the Ernst and Einstein-Maxwell equations', Journal of Physics A - Mathematical and General, pp. 8659 - 8671

Journal articles | 2001

Schief WK, 2001, 'An introduction to integrable difference and differential geometries: affine spheres, their natural generalization and discretization', Centre de recherches mathematiques, CRM proceedings and lecture notes, pp. 69 - 88

Journal articles | 2001

Schief WK, 2001, 'Isothermic surfaces and the Calapso equation: the full monty', Centre de recherches mathematiques, CRM proceedings and lecture notes, pp. 393 - 403

Journal articles | 2001

Schief WK, 2001, 'Isothermic surfaces in spaces of arbitrary dimension: integrability, discretization, and Backlund transformations--A discrete Calapso equation', Studies in Applied Mathematics, pp. 85 - 137

Journal articles | 2000

Rogers CW; Schief WK, 2000, 'On geodesic hydrodynamic motions. Heisenberg spin connections', Journal of Mathematical Analysis and Applications, pp. 855 - 870

Journal articles | 2000

Schief WK; Konopelchenko BG, 2000, 'Discrete surfaces of revolution', Centre de recherches mathematiques, CRM proceedings and lecture notes, pp. 381 - 400

Journal articles | 2000

Schief WK; Rogers CW, 2000, 'Backlund transfromations and the integrable discretisation of characteristic equations', Chaos Solitons and Fractals, 11, pp. 107 - 113

Journal articles | 2000

Schief WK, 2000, 'Hyperbolic surfaces in centro-affine geometry integrability and discretization', Chaos Solitons and Fractals, 11, pp. 97 - 106

Journal articles | 2000

Schief WK, 2000, 'On Laplace-Darboux-type sequences of generalized Weingarten surfaces', Journal of mathematical physics, pp. 6566 - 6599

Journal articles | 2000

Schief WK, 2000, 'The Painleve III, V and VI transcendents as solutions of the Einstein-Weyl equations', Physics Letters, Section A, pp. 265 - 275

Journal articles | 1999

Bobenko AI; Schief WK, 1999, 'Affine spheres: discretization via duality relations', Experimental Mathematics, pp. 261 - 280

Journal articles | 1999

Ferapontov EV; Rogers CW, 1999, 'Surfaces of demoulin: differential geometry, Backlund transformation and integrability', Journal of Geometry and Physics, pp. 343 - 363

Journal articles | 1999

Konopelchenko BG; Schief WK, 1999, 'Trapezoidal discrete surfaces: geometry and integrability', Journal of Geometry and Physics, pp. 75 - 95

Journal articles | 1999

Konopelchenko BG; Schief WK, 1999, 'Trapezoidal discrete surfaces: geometry and integrability', Journal of Geometry and Physics, pp. 75 - 95

Journal articles | 1999

Nimmo JJ; Schief WK; Rogers CW, 1999, 'Termination of Bergman series. Connection to the Bn Toda system', Journal of Engineering Mathematics, pp. 137 - 148

Journal articles | 1999

Rogers C; Schief WK, 1999, 'The resonant nonlinear Schrödinger equation via an integrable capillarity model', Nuovo Cimento Della Societa Italiana Di Fisica B, 114, pp. 1409 - 1412

Journal articles | 1999

Rogers CW; Bassom AP; Schief WK, 1999, 'On Painleve II model in steady electrolysis: application of a Backlund transformation', Journal of Mathematical Analysis and Applications, pp. 367 - 381

Journal articles | 1999

Rogers CW; Schief WK, 1999, 'The resonant nonlinear Schrodinger equation via an integraable capillarity model', Il Nuovo Cimento, 114, pp. 1403 - 1412

Journal articles | 1999

Schief WK; Bassom AP, 1999, 'Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces', Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences, pp. 3163 - 3188

Journal articles | 1998

Ferapontov EV; Rogers CW; Schief WK, 1998, 'Reciprocal transformations of two-component hyperbolic systems and their invariants', Journal of Mathematical Analysis and Applications, pp. 365 - 376

Journal articles | 1998

Konopelchenko BG; Schief WK, 1998, 'Three-dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality', Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences, pp. 3075 - 3104

Journal articles | 1998

Rogers CW; Schief WK, 1998, 'Intrinsic geometry of the NLS equation and its auto-Backlund transformation', Studies in Applied Mathematics, 101, pp. 267 - 287

Journal articles | 1998

Schief WK; Nimmo JJ, 1998, 'An integrable discretization of a 2+1-dimensional sine-Gordon equation', Studies in Applied Mathematics, 100, pp. 295 - 309

Journal articles | 1998

Schief WK; Rogers CW, 1998, 'Loewner transformations: adjoint and binary Darboux connections', Studies in Applied Mathematics, 100, pp. 391 - 422

Journal articles | 1998

Schief WK, 1998, 'An integrable discretization of the characteristic equations associated with a gas dynamics system', Physics Letters, Section A, pp. 278 - 282

Journal articles | 1997

Antanovskii LK; Rogers CW; Schief WK, 1997, 'A note on a capillarity model and the nonlinear Schrodinger equation', Journal of Physics A - Mathematical and General, pp. 555 - 557

Journal articles | 1997

Nimmo JJ; Schief WK, 1997, 'Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)-dimensional sine-Gordon system', Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences, pp. 255 - 279

Journal articles | 1997

Rogers CW; Schief WK; Winternitz P, 1997, 'Lie-Theoretical generalization and discretization of the Pinney equation', Journal of Mathematical Analysis and Applications, pp. 246 - 264

Journal articles | 1997

Rogers CW; Schief WK, 1997, 'The classical Backlund transformation and integrable discretisation of characteristic equations', Physics Letters, Section A, pp. 217 - 223

Journal articles | 1997

Schief WK, 1997, 'A discrete Pinney equation', Applied Mathematics Letters, 10, pp. 13 - 15

Journal articles | 1997

Schief WK, 1997, 'On the geometry of an integrable (2+1)-dimensional sine-Gordon system', Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences, pp. 1671 - 1688

Journal articles | 1996

Rogers CW; Konopelchenko B; Stallybrass M; Schief WK, 1996, 'The Nizhnik-Veselov-Novikov equation associated boundary value problems', International Journal of Non - Linear Mechanics, pp. 441 - 450

Journal articles | 1996

Rogers CW; Schief WK, 1996, 'Multi-component Ermakov systems structure and linearization', Journal of Mathematical Analysis and Applications, 198, pp. 194 - 220

Journal articles | 1996

Schief WK; Rogers CW; Bassom AP, 1996, 'Ermakov systems of arbitrary order and dimension: structure and linearization', Journal of Physics A - Mathematical and General, pp. 903 - 911

Journal articles | 1996

Schief WK, 1996, 'Self-dual Einstein spaces via a permutability theorem for the Tzitzeica equation', Physics Letters, Section A, pp. 55 - 62

Journal articles | 1996

Schief WK, 1996, 'The Tzitzeica equation: a Backlund transformation interpreted as truncated Painleve expansion', Journal of Physics A - Mathematical and General, pp. 5153 - 5155

Journal articles | 1995

Rogers CW; Schief WK; Stallybrass M, 1995, 'Initial/boundary value problems and Darboux-Levi-type transformations associated with a 2+1 dimensional eigenfunction equation', International Journal of Non - Linear Mechanics, pp. 223 - 233

Journal articles | 1995

Schief WK; Rogers CW; Johnston ME, 1995, 'On hyperbolic surfaces, moving Triad and Loewner System Connections', Chaos Solitons and Fractals, pp. 25 - 34

Journal articles | 1995

Schief WK; Rogers CW; Tsarev SP, 1995, 'On a 2+1-dimensional Darboux system, integrable and geometric connections', Chaos Solitons and Fractals, pp. 2357 - 2366

Journal articles | 1995

Schief WK, 1995, 'An infinite hierarchy of symmetries associated with hyperbolic surfaces', Nonlinearity, pp. 1 - 9

Journal articles | 1994

OEVEL W; SCHIEF W, 1994, 'SQUARED EIGENFUNCTIONS OF THE (MODIFIED) KP HIERARCHY AND SCATTERING PROBLEMS OF LOEWNER TYPE', Reviews in Mathematical Physics, 06, pp. 1301 - 1338,

Journal articles | 1994

Schief WK; Rogers C, 1994, 'The affinspharen equation. Moutard and Backlund transformations', Inverse Problems, 10, pp. 711 - 731,

Journal articles | 1994

Schief WK, 1994, 'Backlund transformations for the (un)pumped Maxwell-Bloch system and the fifth Painleve equation', Journal of Physics A Mathematical and General, 27, pp. 547 - 557,

Journal articles | 1994

Schief WK, 1994, 'On a 2+1-dimensional Darboux system: Integrable reductions', Inverse Problems, 10, pp. 1185 - 1198,

Journal articles | 1994

Schief WK, 1994, 'On a 2+1-dimensional integrable Ernst-type equation', Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences, 446, pp. 381 - 398,

Journal articles | 1992

Hoenselaers C; Schief WK, 1992, 'Prolongation structures for Harry Dym type equations and Backlund transformations of CC ideals', Journal of Physics A Mathematical and General, 25, pp. 601 - 622,

Journal articles | 1992

Konopelchenko BG; Schief W; Rogers C, 1992, 'A (2+1)-dimensional sine-Gordon system: its auto-Bäcklund transformation', Physics Letters A, 172, pp. 39 - 48,

Journal articles | 1992

Schief WK, 1992, 'On localized solitonic solutions of a (2+1)-dimensional sine-Gordon system', Journal of Physics A Mathematical and General, 25, pp. L1351 - L1354,
Preprints | 2024

Schief WK; Hertrich-Jeromin U; Konopelchenko BG, 2024, Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation,

Preprints | 2021

Demskoi DK; Schief WK, 2021, On non-steady planar motions of fibre-reinforced fluids. Geometry and integrable structure,

Preprints | 2021

Demskoi DK; Schief WK, 2021, On steady motions of an ideal fibre-reinforced fluid in a curved stratum. Geometry and integrability,

Preprints | 2020

Konopelchenko BG; Schief WK; Szereszewski A, 2020, Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates,

Preprints | 2019

Akopyan AV; Bobenko AI; Schief WK; Techter J, 2019, On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs,

Preprints | 2019

Konopelchenko BG; Schief WK, 2019, On an integrable multi-dimensionally consistent 2n+2n-dimensional heavenly-type equation,

Preprints | 2018

Bobenko AI; Schief WK; Techter J, 2018, Checkerboard incircular nets. Laguerre geometry and parametrisation,

Preprints | 2018

Inoguchi J-I; Jikumaru Y; Kajiwara K; Miura KT; Schief WK, 2018, Log-Aesthetic Curves: Similarity Geometry, Integrable Discretization and Variational Principles,

Preprints | 2018

Schief WK; Szereszewski A, 2018, Surface theory in discrete projective differential geometry. I. A canonical frame and an integrable discrete Demoulin system,

Preprints | 2017

Bobenko AI; Schief WK; Suris YB; Techter J, 2017, On a discretization of confocal quadrics. II. A geometric approach to general parametrizations,

Preprints | 2017

Inoguchi J-I; Kajiwara K; Miura KT; Sato M; Schief WK; Shimizu Y, 2017, Log-aesthetic Curves as Similarity Geometric Analogue of Euler's Elasticae,

Preprints | 2015

Bobenko AI; Schief WK; Suris YB; Techter J, 2015, On a discretization of confocal quadrics. I. An integrable systems approach,

Preprints | 2015

Bobenko AI; Schief WK, 2015, Circle complexes and the discrete CKP equation,

Preprints | 2014

Bobenko AI; Schief WK, 2014, Discrete line complexes and integrable evolution of minors,

Preprints | 2014

Kodama Y; Konopelchenko B; Schief WK, 2014, Critical points, Lauricella functions and Whitham-type equations,

Preprints | 2014

Konopelchenko BG; Schief WK, 2014, Integrable discretization of hodograph-type systems, hyperelliptic integrals and Whitham equations,

Preprints | 2013

Huhnen-Venedey E; Schief WK, 2013, On Weingarten transformations of hyperbolic nets,

Conference Papers | 2009

Rogers CW; Schief WK; Mentrell A; Ruggeri T, 2009, 'Application of a Backlund transformation in nonlinear elastodynamics. Two-pulse interaction', in Proc. Waves and Stability in Contunuous Media (WASCOM 2009), World Scientific, Singapore, pp. 260 - 269, presented at WASCOM 2009, Palermo, Italy, 28 June 2009 - 01 July 2009

Conference Papers | 2008

MENTRELLI A; ROGERS C; SCHIEF WK, 2008, 'ON TWO-PULSE INTERACTION IN A CLASS OF MODEL ELASTIC MATERIALS', in Waves and Stability in Continuous Media, WORLD SCIENTIFIC, pp. 394 - 404, presented at Proceedings of the 14th Conference on WASCOM 2007,

Preprints | 2008

Schief WK; Konopelchenko BG, 2008, A novel generalization of Clifford's classical point-circle configuration. Geometric interpretation of the quaternionic discrete Schwarzian KP equation,

Preprints | 2007

Conte R; Rogers C; Schief W, 2007, Painlevé structure of a multi-ion electrodiffusion system,

Conference Papers | 2007

Mentrelli A; Rogers C; Ruggeri T; Schief WK, 2007, 'On two-pulse and shock evolution in a class of ideally hard elastic materials', in Asymptotic Methods in Nonlinear Wave Phenomena in Honor of the 65th Birthday of Antonio Greco, pp. 132 - 143,

Preprints | 2001

Konopelchenko BG; Schief WK, 2001, Menelaus' theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy,

Conference Papers | 2000

Rogers CW; Schief WK; Johnston ME, 2000, 'Backlund and his works:applications in soliton theory', in Miniworkshop in geometry and differential equations, Miniworkshop in geometry and differential equations, Canberra, presented at Miniworkshop in geometry and differential equations, Canberra, 01 May 2000 - 05 May 2000

Conference Papers | 1999

Schief WK, 1999, 'The trajectories of fluid particles in certain motions of classical hyrodynamics', in Boiti M; Martina L; Pempinelli F; Prinari B; Soliani G (eds.), workshop on nonlinearity, integrability and all that: twenty years after NEEDS `79, WORLD SCIENTIFIC PUBL CO PTE LTD, Lecce-Otranto, Italy, pp. 523 - 529, presented at workshop on nonlinearity, integrability and all that: twenty years after NEEDS `79, Lecce-Otranto, Italy, 01 July 1999 - 10 July 1999,

Conference Papers | 1996

Schief WK; Rogers CW, 1996, 'Integration of finite Loewner transformations. Darboux connections', in Ibragimov NH; Mahomed FM (ed.), Intern. Conference in the New South Africa, Intern. Conference in the New South Africa, pp. 289 - 311, presented at Intern. Conference in the New South Africa, 15 January 1996 - 20 January 1996

Conference Papers | 1996

Schief WK, 1996, 'Self-dual Einstein spaces and a discrete Tzitzeica equation. A permutability theorem', in Symmetries and integrability of difference equations 2, Symmetries and integrability of difference equations 2, University of Kent, Canterbury, presented at Symmetries and integrability of difference equations 2, University of Kent, Canterbury, 01 July 1996 - 05 July 1996

Conference Papers | 1995

Rogers CW; Schief WK, 1995, 'On generalized Ermakov systems', in 1st Workshop on nonlinear physics theory and experiments, 1st Workshop on nonlinear physics theory and experiments, Italy, presented at 1st Workshop on nonlinear physics theory and experiments, Italy, 29 June 1995 - 07 July 1995

Conference Papers | 1995

Rogers CW; Schief WK, 1995, 'On generalized Ermakov sytsems', in Alfinito E; Boiti M; Martina L; Pempinelli F (eds.), 1st Workshop on nonlinear physics theory and experiments, 1st Workshop on nonlinear physics theory and experiments, Italy, pp. 278 - 285, presented at 1st Workshop on nonlinear physics theory and experiments, Italy, 29 June 1995 - 07 July 1995

Conference Papers | 1995

Schief WK; Rogers CW, 1995, 'The geometry of the LKR system applicatin of a Laplace-Darboux-type transformation to Ernst-type equations', in 1st Workshop on nonlinear physics theory and experiments, 1st Workshop on nonlinear physics theory and experiments, Italy, presented at 1st Workshop on nonlinear physics theory and experiments, Italy, 29 June 1995 - 07 July 1995

Conference Papers | 1995

Schief WK; Rogers CW, 1995, 'The geometry of the LKR system. Appl. of a Laplace-Darboux transformation to Ernst-Type equations', in Alfinito E; Boiti M; Martina L; Pempinelli F (eds.), 1st Workshop on nonlinear physics theory and experiments, 1st Workshop on nonlinear physics theory and experiments, Italy, pp. 305 - 312, presented at 1st Workshop on nonlinear physics theory and experiments, Italy, 29 June 1995 - 07 July 1995

Preprints |

Hanke M; Schief W; Weissensteiner A, Rom Simulation with Exact Means, Covariances, and Multivariate Skewness,

My research is centred around the theory and applications of integrable systems. The latter make an appearance in a surprisingly diverse range of fields in mathematics and physics. Against this background, my particular areas of interest include

Integrable Systems
Soliton Theory
Differential Geometry
Discrete Differential Geometry
Continuum Mechanics
General Relativity

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