ºÚÁÏÍø´óʼÇ

Professor Wolfgang Schief

Professor Wolfgang Schief

Professor
Science
School of Mathematics & Statistics

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

Phone
9385 3131
Location
School of Mathematics and Statistics University of New South Wales Sydney NSW 2052 The Red 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