| A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation VO Vakhnenko, EJ Parkes, AJ Morrison Chaos, Solitons & Fractals 17 (4), 683-692, 2003 | 308 | 2003 |
| The two loop soliton solution of the Vakhnenko equation VO Vakhnenko, EJ Parkes Nonlinearity 11 (6), 1457, 1998 | 235 | 1998 |
| Solitons in a nonlinear model medium VA Vakhnenko Journal of Physics A: Mathematical and General 25 (15), 4181-4187, 1992 | 226 | 1992 |
| Periodic and solitary-wave solutions of the Degasperis–Procesi equation VO Vakhnenko, EJ Parkes Chaos, Solitons & Fractals 20 (5), 1059-1073, 2004 | 164 | 2004 |
| The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method VO Vakhnenko, EJ Parkes Chaos, Solitons & Fractals 13 (9), 1819-1826, 2002 | 161 | 2002 |
| The N loop soliton solution of the Vakhnenko equation AJ Morrison, EJ Parkes, VO Vakhnenko Nonlinearity 12 (5), 1427, 1999 | 154 | 1999 |
| High-frequency soliton-like waves in a relaxing medium VO Vakhnenko Journal of Mathematical Physics 40 (4), 2011-2020, 1999 | 108 | 1999 |
| 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 | 62 | 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 (1), 015602, 2004 | 60 | 2004 |
| Explicit solutions of the Camassa–Holm equation EJ Parkes, VO Vakhnenko Chaos, Solitons & Fractals 26 (5), 1309-1316, 2005 | 54 | 2005 |
| Physically corrected Ablowitz-Ladik model and its application to the Peierls-Nabarro problem OO Vakhnenko, VO Vakhnenko Physics Letters A 196 (5-6), 307-312, 1995 | 53 | 1995 |
| Approach in theory of nonlinear evolution equations: the Vakhnenko-Parkes equation VO Vakhnenko, EJ Parkes Advances in Mathematical Physics 2016, 2016 | 34 | 2016 |
| The Vakhnenko equation from the viewpoint of the inverse scattering method for the KdV equation VO Vakhnenko, EJ Parkes, AV Michtchenko International Journal of Differential Equations and Applications 1 (4), 429-449, 2000 | 33 | 2000 |
| The singular solutions of a nonlinear evolution equation taking continuous part of the spectral data into account in inverse scattering method VO Vakhnenko, EJ Parkes Chaos, Solitons & Fractals 45 (6), 846-852, 2012 | 31 | 2012 |
| 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 |
| Solutions associated with discrete and continuous spectrums in the inverse scattering method for the Vakhnenko-Parkes equation VO Vakhnenko, EJ Parkes Progress of Theoretical Physics 127 (4), 593-613, 2012 | 17 | 2012 |
| 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 (1), 120-123, 2006 | 15 | 2006 |
| The existence of loop-like solutions of a model evolution equation VO Vakhnenko UKRAINS'KYI FIZYCHNYI ZHURNAL 42, 104-110, 1997 | 15 | 1997 |
| An asymptotic averaged model of non-linear long waves propagation in media with a regular structure VO Vakhnenko, VA Danylenko, AV Michtchenko International journal of non-linear mechanics 34 (4), 643-654, 1999 | 14 | 1999 |
| Diagnostics of the medium structure by long wave of finite amplitude VO Vakhnenko, VA Danylenko, AV Michtchenko International Journal of Non-Linear Mechanics 35 (6), 1105-1113, 2000 | 11 | 2000 |
Oleksiy O. Vakhnenko (A...Bogolyubov Institute for Theoretical PhysicsVerified email at bitp.kiev.ua
