On the motion of solitons in discrete molecular chains AA Vakhnenko, YB Gaididei Theor. Math. Phys. 68 (03), 873--880, 1987 | 63 | 1987 |
Soft-ratchet modeling of end-point memory in the nonlinear resonant response of sedimentary rocks OO Vakhnenko, VO Vakhnenko, TJ Shankland Physical Review B 71 (17), 174103, 2005 | 61 | 2005 |
Strain-induced kinetics of intergrain defects as the mechanism of slow dynamics in the nonlinear resonant response of humid sandstone bars OO Vakhnenko, VO Vakhnenko, TJ Shankland, JA Ten Cate Physical review E 70 (01), 015602, 2004 | 60 | 2004 |
Physically corrected Ablowitz-Ladik model and its application to the Peierls-Nabarro problem OO Vakhnenko, VO Vakhnenko Physics Letters A 196 (05-06), 307-312, 1995 | 54 | 1995 |
O kharaktere dvizheniya solitonov v diskretnykh molekulyarnykh tsepyakh AA Vakhnenko, YB Gaididei Teor. Mat. Fiz. 68, 350-359, 1986 | 39 | 1986 |
Nonlinear integrable model of Frenkel-like excitations on a ribbon of triangular lattice OO Vakhnenko J. Math. Phys. 56 (03), 033505, 2015 | 33 | 2015 |
Dissociation-Accompanied Raman Scattering by Davydov Solitons AA Eremko, YB Gaididei, AA Vakhnenko phys. stat. sol. (b) 127, 703, 1985 | 30 | 1985 |
Integrable nonlinear Schrödinger system on a triangular-lattice ribbon OO Vakhnenko Journal of the Physical Society of Japan 84 (01), 014003, 2014 | 26 | 2014 |
Semidiscrete integrable nonlinear systems generated by the new fourth-order spectral operator: Local conservation laws OO Vakhnenko Journal of Nonlinear Mathematical Physics 18 (03), 401-414, 2011 | 26 | 2011 |
Solitons on a zigzag-runged ladder lattice OO Vakhnenko Physical Review E 64 (06), 067601, 2001 | 26 | 2001 |
Modeling of stress-strain dependences for Berea sandstone under quasistatic loading VO Vakhnenko, OO Vakhnenko, JA TenCate, TJ Shankland Physical Review B 76 (18), 184108, 2007 | 25 | 2007 |
Inverse scattering transform for the nonlinear Schrödinger system on a zigzag-runged ladder lattice OO Vakhnenko Journal of mathematical physics 51 (10), 2010 | 22 | 2010 |
Solitons in parametrically driven discrete nonlinear Schrödinger systems with the exploding range of intersite interactions OO Vakhnenko Journal of Mathematical Physics 43 (05), 2587-2605, 2002 | 22 | 2002 |
Transverse and longitudinal dynamics of nonlinear intramolecular excitations on multileg ladder lattices OO Vakhnenko, MJ Velgakis Physical Review E 61 (06), 7110, 2000 | 22 | 2000 |
Integrable nonlinear ladder system with background-controlled intersite resonant coupling OO Vakhnenko Journal of Physics A: Mathematical and General 39 (35), 11013, 2006 | 21 | 2006 |
Soliton Generation in Semi-Infinite Molecular Chains LS Brizhik, YB Gaididei, AA Vakhnenko, VA Vakhnenko phys. stat. sol. (b) 146, 605, 1988 | 21 | 1988 |
Multimode soliton dynamics in perturbed ladder lattices OO Vakhnenko, MJ Velgakis Physical Review E 63 (01), 016612, 2000 | 20 | 2000 |
Nonlinear beating excitations on ladder lattice OO Vakhnenko Journal of Physics A: Mathematical and General 32 (30), 5735, 1999 | 17 | 1999 |
Semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site resonant coupling OO Vakhnenko Journal of Nonlinear Mathematical Physics 24 (02), 250-302, 2017 | 15 | 2017 |
Soft‐ratchet modeling of slow dynamics in the nonlinear resonant response of sedimentary rocks OO Vakhnenko, VO Vakhnenko, TJ Shankland, JA TenCate AIP Conference Proceedings 838 (01), 120-123, 2006 | 15 | 2006 |