Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms, II

European Journal of Applied Mathematics

Volumn 17, Issue 5, 2006, Pages 597-605

  Cherniha, Roman ^a   Serov, Mykola ^b  

^a INSTITUTE OF MATHEMATICS   (Ukraine)

^b POLTAVA NATIONAL TECHNICAL YURI KONDRATYUK UNIVERSITY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846976117     PISSN: 09567925     EISSN: 14694425     Source Type: Journal    
DOI: 10.1017/S0956792506006681     Document Type: Article

References (9)

1. CHERNIHA, R. & SEROV, M. (1998) Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms. Euro. J. Appl. Math. 9, 527-542.
2. DORODNITSYN, V. A. (1982) On invariant solutions of non-linear heat conduction with a source. USSR Comput. Math, and Math. Phys. 22, 115-122.
3. KING, J. R. (1993) Exact polynomial solutions to some nonlinear diffusion equations. Physica D, 64 35-65.
4. AKHATOV, I. S., GAZIZOV, R. K. & IBRAGIMOV, N. H. (1991) Nonlocal symmetries. Heuristic approach. J. Sov. Math. 55, 1401-1450.
5. CHERNIHA, R. & KING, J. R. (2005) Nonlinear Reaction-Diffusion Systems with Variable Diffusivities : Lie Symmetries, Ansätze and Exact Solutions. J. Math. Anal. Appl. 308, 11-35.
6. OVSIANNIKOV, L. V. (1978) The Group Analysis of Differential Equations. Nauka, Moscow (in Russian).
7. CHERNIHA, R. & KING, J. R. (2000) Lie Symmetries of Nonlinear Multidimensional Reaction-Diffusion Systems: I. J. Phys. A: Math. Gen. 33, 267-282, 7839-41.
8. CHERNIHA, R. & KING, J. R. (2003) Lie Symmetries of Nonlinear Multidimensional Reaction-Diffusion Systems: II. J. Phys. A: Math. Gen. 36, 405-425.
9. POPOVYCH, R., BOYKO, V., NESTERENKO, M. & LUTFULLIN, M. (2003) Realization of Real Low-dimensional Lie Algebras J. Phys. A: Math. Gen. 36, 7337-7360.