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 | 64 | 2004 |
On the motion of solitons in discrete molecular chains AA Vakhnenko, YB Gaididei Theor. Math. Phys. 68 (03), 873--880, 1987 | 64 | 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—Condensed Matter and Materials Physics 71 (17), 174103, 2005 | 63 | 2005 |
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 | 41 | 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 |
Nonlinear beating excitations on ladder lattice OO Vakhnenko Journal of Physics A: Mathematical and General 32 (30), 5735, 1999 | 30 | 1999 |
Dissociation-Accompanied Raman Scattering by Davydov Solitons AA Eremko, YB Gaididei, AA Vakhnenko phys. stat. sol. (b) 127, 703, 1985 | 30 | 1985 |
Integrable nonlinear ladder system with background-controlled intersite resonant coupling OO Vakhnenko Journal of Physics A: Mathematical and General 39 (35), 11013, 2006 | 29 | 2006 |
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 | 27 | 2011 |
Modeling of stress-strain dependences for Berea sandstone under quasistatic loading VO Vakhnenko, OO Vakhnenko, JA TenCate, TJ Shankland Physical Review B—Condensed Matter and Materials Physics 76 (18), 184108, 2007 | 26 | 2007 |
Integrable nonlinear Schrödinger system on a triangular-lattice ribbon OO Vakhnenko Journal of the Physical Society of Japan 84 (01), 014003, 2014 | 25 | 2014 |
Solitons on a zigzag-runged ladder lattice OO Vakhnenko Physical Review E 64 (06), 067601, 2001 | 25 | 2001 |
Inverse scattering transform for the nonlinear Schrödinger system on a zigzag-runged ladder lattice OO Vakhnenko Journal of mathematical physics 51 (10), 2010 | 23 | 2010 |
Multimode soliton dynamics in perturbed ladder lattices OO Vakhnenko, MJ Velgakis Physical Review E 63 (01), 016612, 2000 | 23 | 2000 |
Transverse and longitudinal dynamics of nonlinear intramolecular excitations on multileg ladder lattices OO Vakhnenko, MJ Velgakis Physical Review E 61 (06), 7110, 2000 | 23 | 2000 |
Soliton Generation in Semi-Infinite Molecular Chains LS Brizhik, YB Gaididei, AA Vakhnenko, VA Vakhnenko phys. stat. sol. (b) 146, 605, 1988 | 23 | 1988 |
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 |
Three-component nonlinear dynamical system generated by the new third-order discrete spectral problem OO Vakhnenko Journal of Physics A: Mathematical and General 36 (20), 5405, 2003 | 20 | 2003 |
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 | 17 | 2017 |