Conditional Lie-Backlund symmetry and reduction of evolution equations RZ Zhdanov Journal of Physics A: Mathematical and General 28 (13), 3841, 1995 | 249 | 1995 |
The structure of Lie algebras and the classification problem for partial differential equations P Basarab-Horwath, V Lahno, R Zhdanov Acta Applicandae Mathematica 69, 43-94, 2001 | 191 | 2001 |
Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann–Liouville derivative Q Huang, R Zhdanov Physica A: Statistical Mechanics and its Applications 409, 110-118, 2014 | 151 | 2014 |
Group classification of heat conductivity equations with a nonlinear source RZ Zhdanov, VI Lahno Journal of Physics A: Mathematical and General 32 (42), 7405, 1999 | 142 | 1999 |
Separation of variables in the nonlinear wave equation RZ Zhdanov Journal of Physics A: Mathematical and General 27 (9), L291, 1994 | 115 | 1994 |
A precise definition of reduction of partial differential equations RZ Zhdanov, IM Tsyfra, RO Popovych Journal of mathematical analysis and applications 238 (1), 101-123, 1999 | 114 | 1999 |
Symmetry and exact solutions of nonlinear spinor equations WI Fushchich, RZ Zhdanov Physics Reports 172 (4), 123-174, 1989 | 101 | 1989 |
Conditional symmetry of a porous medium equation RZ Zhdanov, VI Lahno Physica D: Nonlinear Phenomena 122 (1-4), 178-186, 1998 | 87 | 1998 |
Symmetries and exact solutions of nonlinear Dirac equations W Fushchych, R Zhdanov Mathematical Ukraina Publ., 1997 | 79 | 1997 |
Group classification and exact solutions of nonlinear wave equations V Lahno, R Zhdanov, O Magda Acta Applicandae Mathematica 91, 253-313, 2006 | 78 | 2006 |
Symmetry classification of KdV-type nonlinear evolution equations F Güngör, VI Lahno, RZ Zhdanov Journal of Mathematical Physics 45 (6), 2280-2313, 2004 | 76 | 2004 |
Antireduction and exact solutions of nonlinear heat equations W Fushchych, R Zhdanov Journal of Nonlinear Mathematical Physics 1 (1), 60-64, 1994 | 63 | 1994 |
Initial-value problems for evolutionary partial differential equations and higher-order conditional symmetries P Basarab-Horwath, RZ Zhdanov Journal of Mathematical Physics 42 (1), 376-389, 2001 | 59 | 2001 |
Group classification of nonlinear wave equations V Lahno, R Zhdanov Journal of mathematical physics 46 (5), 2005 | 46 | 2005 |
Separation of variables in (1+ 2)-dimensional Schrödinger equations RZ Zhdanov Journal of Mathematical Physics 38 (2), 1197-1217, 1997 | 46 | 1997 |
AN-type Dunkl operators and new spin Calogero–Sutherland models F Finkel, D Gómez-Ullate, A González-López, MA Rodriguez, R Zhdanov Communications in Mathematical Physics 221, 477-497, 2001 | 45 | 2001 |
New spin Calogero–Sutherland models related to BN-type Dunkl operators F Finkel, D Gómez-Ullate, A González-López, MA Rodrıguez, R Zhdanov Nuclear Physics B 613 (3), 472-496, 2001 | 43 | 2001 |
Non-classical reductions of initial-value problems for a class of nonlinear evolution equations RZ Zhdanov, AY Andreitsev Journal of Physics A: Mathematical and General 33 (32), 5763, 2000 | 41 | 2000 |
Higher conditional symmetry and reduction of initial value problems RZ Zhdanov Nonlinear Dynamics 28, 17-27, 2002 | 37 | 2002 |
On the new approach to variable separation in the time‐dependent Schrödinger equation with two space dimensions RZ Zhdanov, IV Revenko, WI Fushchych Journal of Mathematical Physics 36 (10), 5506-5521, 1995 | 37 | 1995 |