Bäcklund and Darboux transformations: geometry and modern applications in soliton theory C Rogers, WK Schief Cambridge University Press, 2002 | 1184 | 2002 |
Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces WK Schief, C Rogers Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 1999 | 121 | 1999 |
Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality BG Konopelchenko, WK Schief Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 1998 | 104 | 1998 |
Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+ 1)–dimensional sine–Gordon system JJC Nimmo, WK Schief Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 1997 | 98 | 1997 |
The resonant nonlinear Schrödinger equation in cold plasma physics. Application of Bäcklund–Darboux transformations and superposition principles JH Lee, OK Pashaev, C Rogers, WK Schief Journal of plasma physics 73 (2), 257-272, 2007 | 97 | 2007 |
On the integrability of infinitesimal and finite deformations of polyhedral surfaces WK Schief, AI Bobenko, T Hoffmann Discrete differential geometry, 67-93, 2008 | 75 | 2008 |
Multi-component Ermakov systems: structure and linearization C Rogers, WK Schief Journal of mathematical analysis and applications 198 (1), 194-220, 1996 | 75 | 1996 |
Menelaus' theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy BG Konopelchenko, WK Schief Journal of Physics A: Mathematical and General 35 (29), 6125, 2002 | 73 | 2002 |
Squared eigenfunctions of the (modified) KP hierarchy and scattering problems of Loewner type W Oevel, W Schief Reviews in Mathematical Physics 6 (06), 1301-1338, 1994 | 72 | 1994 |
Intrinsic geometry of the NLS equation and its auto‐Bäcklund transformation C Rogers, WK Schief Studies in applied mathematics 101 (3), 267-287, 1998 | 70 | 1998 |
Lattice geometry of the discrete Darboux, KP, BKP and CKP equations. Menelaus’ and Carnot’s theorems WK Schief Journal of Nonlinear Mathematical Physics 10 (sup2), 194-208, 2003 | 63 | 2003 |
Isothermic surfaces in spaces of arbitrary dimension: integrability, discretization, and Bäcklund transformations—a discrete Calapso equation WK Schief Studies in Applied Mathematics 106 (1), 85-137, 2001 | 63 | 2001 |
Ermakov systems of arbitrary order and dimension: structure and linearization WK Schief, C Rogers, AP Bassom Journal of Physics A: Mathematical and General 29 (4), 903, 1996 | 63 | 1996 |
The Da Rios system under a geometric constraint: the Gilbarg problem WK Schief, C Rogers Journal of Geometry and Physics 54 (3), 286-300, 2005 | 60 | 2005 |
Self-dual Einstein spaces via a permutability theorem for the Tzitzeica equation WK Schief Physics Letters A 223 (1-2), 55-62, 1996 | 58 | 1996 |
On the integrability of Bertrand curves and Razzaboni surfaces WK Schief Journal of Geometry and Physics 45 (1-2), 130-150, 2003 | 53 | 2003 |
Darboux theorems and the KP hierarchy W Oevel, W Schief Applications of analytic and geometric methods to nonlinear differential …, 1993 | 53 | 1993 |
The pulsrodon in 2+ 1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability C Rogers, WK Schief Journal of mathematical physics 52 (8), 2011 | 51 | 2011 |
Affine spheres: discretization via duality relations AI Bobenko, WK Schief Experimental Mathematics 8 (3), 261-280, 1999 | 48 | 1999 |
A (2+ 1)-dimensional sine-Gordon system: its auto-Bäcklund transformation BG Konopelchenko, W Schief, C Rogers Physics Letters A 172 (1-2), 39-48, 1992 | 47 | 1992 |