Select Publications

Journal articles

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

Schief WK, 2007, 'Discrete Chebyshev nets and a universal permutability theorem', Journal of Physics A: Mathematical and Theoretical, 40, pp. 4775 - 4801, http://dx.doi.org/10.1088/1751-8113/40/18/007

Schief WK; Szereszewski A; Rogers C, 2007, 'The Laḿ equation in shell membrane theory', Journal of Mathematical Physics, 48, http://dx.doi.org/10.1063/1.2747721

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, http://dx.doi.org/10.1093/qjmam/hbl025

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

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

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, http://dx.doi.org/10.1093/qjmam/hbl025

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

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

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

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

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

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

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

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

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

Fokas AS; Rogers CW; Schief WK, 2005, 'Evolution of methacrylate distribution during wood saturation', Applied Mathematics Letters, 18, pp. 321 - 328, http://www.sciencedirect.com/science/article/B6TY9-4F8TK40-4/2/5bb47731c5ef737583a1c6dcaed4f5f1

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

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

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

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

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

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

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

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

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

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, http://dx.doi.org/10.2991/jnmp.2003.10.s2.17

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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