References
- Ovsiannikov , L.V. 1982 . Group Analysis of Differential Equations , New York : Academic Press .
- Ibragimov , N.H. 1985 . Transformation Groups Applied to Mathematical Physics , Boston : Reidel .
- Olver , P.J. 1986 . Applications of Lie Groups to Differential Equations , New York : Springer-Verlag .
- Bluman , G.W. and Cole , J.D. 1969 . The general similarity solution of the heat equation . J. Math. , 18 : 1025 – 1042 .
- Olver , P.J. and Rosenau , P. 1987 . Group-invariant solutions of differential equations . SIAM J. Appl. Math. , 47 : 263 – 278 . (in Russian)
- Yanenko , N.N. 1964 . “ Theory of consistency and methods of integrating systems of nonlinear partial differential equations ” . In Proceedings of the Fourth All–Union Mathematical Congress 247 – 259 . Leningrad (in Russian)
- Sidorov , A.F. , Shapeev , V.P. and Yanenko , N.N. 1984 . Method of Differential Constraints and its Applications to Gas Dynamics , Nauka : Novosibirsk . (In Russian)
- Meleshko , S.V. 1983 . Differential constraints and one–parameter Lie–Bäcklund groups . Sov. Math. Dokl. , 28 : 37 – 41 .
- Olver , P.J. 1994 . Direct reduction and differential constraints . Proc. R. Soc. Lond. A , 444 : 509 – 523 .
- Kaptsov , O.V. 1992 . Invariant sets of evolution equations . Nonlinear Analysis, Theory, Methods and Applications , 19 ( 8 ) : 753 – 761 .
- Levi , D. and Winternitz , P. 1989 . Nonclassical symmetry reduction : example of the Boussinesq equation . J. Phys. A , 22 : 2915 – 2924 .
- Andreev , B.K. , Kaptsov , O.V. , Pukhnachev , V.V. and Rodionov , A.A. 1994 . Applications of Group-Theoretic Methods to Hydrodynamics , Nauka : Novosibirsk . (In Russian)
- Fokas , A.S. and Liu , Q.M. 1993 . Nonlinear Interaction of Traveling Waves of Non–Integrable Equations , Preprint, INS # 235
- Clarkson , P.A. and Hood , S. 1992 . Nonclassical symmetry reductions and exact solutions of the Zabolotskaya–Khokhlov equation . Euro–Jnl. of Applied Mathematics , 3 : 381 – 415 .
- *Fushchich , W. and Nikitin , A. 1987 . Symmetries of Maxwell’s Equations, Appendix 4 , D. Reidel Pub. Comp .
- *Fushchich , W.I. and Tsyfra , I.M. 1987 . On reduction and solutions of the nonlinear wave equations with broken symmetry . J. Phys. A: Math. Gen. , 20 ( 2 ) : L45 – L48 .
- *Fushchich , W. , Serov , N. and Chopyk , V. 1988 . Conditional invariance of nonlinear heat equations . Dopovidi Ukrainian Acad. Sci. , : 17 – 20 .
- *Fushchich , W. , Shtelen , W. and Serov , N. 1993 . Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics , 436 Dordrecht : Kluwer Academic Publishers .
- References were added by Editir of the Proceedings