Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities J Belmonte-Beitia, VM Pérez-García, V Vekslerchik, PJ Torres Physical review letters 98 (6), 064102, 2007 | 342 | 2007 |
Localized nonlinear waves in systems with time-and space-modulated nonlinearities J Belmonte-Beitia, VM Perez-Garcia, V Vekslerchik, VV Konotop Physical Review Letters 100 (16), 164102, 2008 | 330 | 2008 |
Stable vortex dipoles in nonrotating Bose-Einstein condensates LC Crasovan, V Vekslerchik, VM Pérez-García, JP Torres, D Mihalache, ... Physical Review A 68 (6), 063609, 2003 | 109 | 2003 |
Discrete nonlinear Schrodinger equation under nonvanishing boundary conditions VE Vekslerchik, VV Konotop Inverse problems 8 (6), 889, 1992 | 99 | 1992 |
Direct perturbation theory for dark solitons VV Konotop, VE Vekslerchik Physical Review E 49 (3), 2397, 1994 | 75 | 1994 |
Construction of exact solutions by spatial translations in inhomogeneous nonlinear Schrödinger equations JJ García-Ripoll, VM Pérez-García, V Vekslerchik Physical Review E 64 (5), 056602, 2001 | 66 | 2001 |
Lattice representation and dark solitons of the Fokas–Lenells equation VE Vekslerchik Nonlinearity 24 (4), 1165, 2011 | 60 | 2011 |
Lie Symmetries, qualitative analysis and exact solutions of nonlinear Schr\" odinger equations with inhomogeneous nonlinearities J Belmonte-Beitia, VM Pérez-García, V Vekslerchik, PJ Torres arXiv preprint arXiv:0801.1437, 2008 | 41 | 2008 |
Soliton molecules in trapped vector nonlinear Schrödinger systems VM Pérez-García, V Vekslerchik Physical Review E 67 (6), 061804, 2003 | 37 | 2003 |
Functional Representation of the Ablowitz-Ladik Hierarchy. II VE Vekslerchik Journal of Nonlinear Mathematical Physics 9 (2), 157 - 180, 2002 | 37 | 2002 |
Localized and periodic exact solutions to the nonlinear Schrödinger equation with spatially modulated parameters: linear and nonlinear lattices J Belmonte-Beitia, VV Konotop, VM Pérez-García, VE Vekslerchik Chaos, Solitons & Fractals 41 (3), 1158-1166, 2009 | 33 | 2009 |
Functional representation of the Ablowitz-Ladik hierarchy VE Vekslerchik Journal of Physics A: Mathematical and General 31 (3), 1087, 1998 | 33 | 1998 |
Modulational instability, solitons and periodic waves in a model of quantum degenerate boson–fermion mixtures J Belmonte-Beitia, VM Perez-Garcia, V Vekslerchik Chaos, Solitons & Fractals 32 (4), 1268-1277, 2007 | 30 | 2007 |
Finite-genus solutions for the Ablowitz-Ladik hierarchy VE Vekslerchik Journal of Physics A: Mathematical and General 32 (26), 4983, 1999 | 27 | 1999 |
The 2D Toda lattice and the Ablowitz-Ladik hierarchy VE Vekslerchik Inverse Problems 11 (2), 463, 1995 | 26 | 1995 |
Randomly modulated dark soliton VV Konotop, VE Vekslerchik Journal of Physics A: Mathematical and General 24 (4), 767, 1991 | 23 | 1991 |
On soliton creation in the nonlinear Schrodinger models: discrete and continuous versions VV Konotop, VE Vekslerchik Journal of Physics A: Mathematical and General 25 (14), 4037, 1992 | 22 | 1992 |
Finite nonlinear Schrödinger chain VE Vekslerchik Physics Letters A 174 (4), 285-288, 1993 | 21 | 1993 |
Implementation of the Bäcklund transformations for the Ablowitz–Ladik hierarchy VE Vekslerchik Journal of Physics A: Mathematical and General 39 (22), 6933, 2006 | 17 | 2006 |
The Davey-Stewartson equation and the Ablowitz-Ladik hierarchy VE Vekslerchik Inverse Problems 12 (6), 1057, 1996 | 17 | 1996 |