By Professor Wolfgang Karl Schief

Journal articles

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Ferapontov EV; Rogers CW, 1999, 'Surfaces of demoulin: differential geometry, Backlund transformation and integrability', Journal of Geometry and Physics, 30, pp. 343 - 363, http://dx.doi.org/10.1016/S0393-0440(98)00064-3

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

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

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

Konopelchenko BG; Schief WK, 1999, 'Trapezoidal discrete surfaces: geometry and integrability', Journal of Geometry and Physics, 31, pp. 75 - 95, http://dx.doi.org/10.1016/S0393-0440(99)00010-8

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

Schief WK, 1998, 'An integrable discretization of the characteristic equations associated with a gas dynamics system', Physics Letters, Section A, 238, pp. 278 - 282, http://dx.doi.org/10.1016/S0375-9601(97)00975-4

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

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

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

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, 454, pp. 3075 - 3104, http://dx.doi.org/10.1098/rspa.1998.0292

Schief WK, 1997, 'A discrete Pinney equation', Applied Mathematics Letters, 10, pp. 13 - 15, http://dx.doi.org/10.1016/S0893-9659(97)00026-8

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

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

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, 453, pp. 1671 - 1688, http://dx.doi.org/10.1098/rspa.1997.0090

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

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

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

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

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

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

Schief WK, 1996, 'The Tzitzeica equation: a Backlund transformation interpreted as truncated Painleve expansion', Journal of Physics A - Mathematical and General, 29, pp. 5153 - 5155, http://dx.doi.org/10.1088/0305-4470/29/16/032

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

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

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

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

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, http://dx.doi.org/10.1088/0305-4470/27/2/036

Schief WK, 1994, 'On a 2+1-dimensional Darboux system: Integrable reductions', Inverse Problems, 10, pp. 1185 - 1198, http://dx.doi.org/10.1088/0266-5611/10/5/014

Schief WK; Rogers C, 1994, 'The affinspharen equation. Moutard and Backlund transformations', Inverse Problems, 10, pp. 711 - 731, http://dx.doi.org/10.1088/0266-5611/10/3/014

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, http://dx.doi.org/10.1098/rspa.1994.0110

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, http://dx.doi.org/10.1142/s0129055x94000468

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, http://dx.doi.org/10.1016/0375-9601(92)90186-P

Schief WK, 1992, 'On localized solitonic solutions of a (2+1)-dimensional sine-Gordon system', Journal of Physics A: Mathematical and General, 25, http://dx.doi.org/10.1088/0305-4470/25/24/002

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