Symmetry analysis and exact solutions of equations of nonlinear mathematical physics WI Fushchich, WM Shtelen, NI Serov Springer Science & Business Media, 2013 | 667 | 2013 |
Симметрийный анализ и точные решения нелинейных уравнений математической физики ВИ Фущич, ВМ Штелень, НИ Серов Naukova dumka, 1989 | 121 | 1989 |
The symmetry and some exact solutions of the nonlinear many-dimensional Liouville, d'Alembert and eikonal equations WI Fushchich, NI Serov Journal of Physics A: Mathematical and General 16 (15), 3645, 1983 | 118 | 1983 |
Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms R CHERNIHA, M SEROV European Journal of Applied Mathematics 9 (5), 527-542, 1998 | 107 | 1998 |
Nonlinear reaction-diffusion-convection equations: Lie and conditional symmetry, exact solutions and their applications R Cherniha, M Serov, O Pliukhin Chapman and Hall/CRC, 2017 | 101 | 2017 |
Lie symmetries and form-preserving transformations of reaction–diffusion–convection equations R Cherniha, M Serov, I Rassokha Journal of mathematical analysis and applications 342 (2), 1363-1379, 2008 | 74 | 2008 |
Q-conditional symmetry of the linear heat equation WI Fushchych, WM Shtelen, MI Serov, RO Popovych Proc. Acad. of Sci. Ukraine 12, 28-33, 1992 | 68 | 1992 |
Nonlinear systems of the Burgers-type equations: Lie and Q-conditional symmetries, Ansätze and solutions R Cherniha, M Serov Journal of mathematical analysis and applications 282 (1), 305-328, 2003 | 51 | 2003 |
Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms, II R Cherniha, M Serov European Journal of Applied Mathematics 17 (5), 597-605, 2006 | 48 | 2006 |
On some exact solutions of the three-dimensional non-linear Schrodinger equation WI Fuschich, NI Serov Journal of Physics A: Mathematical, Nuclear and General 20 (15), L929-L933, 1987 | 48 | 1987 |
Conditional invariance and exact solutions of the nonlinear equation NI Serov Ukrainian Mathematical Journal 42 (10), 1216-1222, 1990 | 31 | 1990 |
CONDITIONAL INVARIANCE AND REDUCTION OF NONLINEAR HEAT-CONDUCTION EQUATION VI Fushchich, MI Serov DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA …, 1990 | 31 | 1990 |
Symmetry analysis and exact solutions of nonlinear equations of mathematical physics [in Russian] VI Fushchich, VM Shtelen', NI Serov Naukova Dumka, 1989 | 26 | 1989 |
Conditional invariance and nonlinear heat equations WI Fushchych, MI Serov, VI Chopyk Doklady Akademii Nauk Ukrainy, 17-19, 1988 | 25 | 1988 |
Lie and non-Lie symmetries of nonlinear diffusion equations with convection term R Cherniha, M Serov Symmetry in Nonlinear Mathematical Physics 2, 444-449, 1997 | 23 | 1997 |
On the conditional symmetry of the generalized KdV equation WI Fushchich, NI Serov, TK Ahmerov Rep. Ukr. Acad. Sci 12, 28, 1991 | 22 | 1991 |
Symmetry and some exact solutions of the multidimensional Monge–Ampère equation WI Fushchych, NI Serov Doklady Akademii Nauk 273 (3), 543-546, 1983 | 22 | 1983 |
The conditional invariance and exact solutions of the nonlinear diffusion equation WI Fushchych, NI Serov, LA Tulupova Proc. Acad. of Sci. Ukraine 4, 37-40, 1993 | 19 | 1993 |
Certain properties of the spectrum of a non-selfadjoint differential operator of the second order MI Serov Doklady Akademii Nauk 131 (1), 27-29, 1960 | 19 | 1960 |
Симметрийный анализ и точные решения уравнений нелинейной математической физики ВИ Фущич, ВМ Штелень, НИ Серов Киев: Наукова думка, 1989 | 17 | 1989 |