Voir la notice de l'article provenant de la source Math-Net.Ru
[1] Bluman G. W. and Kumei S., Symmetries and Differential Equations, Springer, New York, 1989 | MR | Zbl
[2] Ibragimov N. H., Transformations Groups in Mathematical Physics, D. Reidel, Dordrecht, 1985 | Zbl
[3] Bona L. and Smith R., “The Initial Value Problem for the Korteveg–de Vries Equation”, Proc. Roy. Soc. London A, 278 (1978), 555–601 | MR
[4] Christ M. and Weinstein M., “Dispersion of Small Amplitude Solutions of the Generalized Korteveg–de Vries Equation”, J. Funct. Analys., 100 (1991), 87–109 | DOI | MR | Zbl
[5] Soviet Math. Dokl., 24 (1981) | MR | Zbl
[6] Galaktionov V. A., “Quasilinear Heat Equations with First-Order Sign-Invariants and New Explicit Solutions”, Nonlinear Analys., Theory, Meth. and Appl., 23 (1994), 1595–1621 | DOI | MR | Zbl
[7] Galaktionov V. A., “On New Exact Blow-up Solutions for Nonlinear Heat Conduction Equations with Source and Applications”, Differ. Integr. Equat., 3 (1990), 863–874 | MR | Zbl
[8] Galaktionov V. A., Posashkov S. A. and Svirshchevskii S. R., “On Invariant Sets and Explicit Solutions of Nonlinear Equations with Quadratic Nonlinearities”, Differ. Integr. Equat., 8 (1995), 1997–2024 | MR | Zbl
[9] Galaktionov V. A., “Invariant Subspaces and New Explicit Solutions to Evolution Equations with Quadratic Nonlinearities”, Proc. Roy. Soc. Edinburgh A, 125 (1995), 225–246 | MR | Zbl
[10] Svirshchevskii S. R., “Invariant Linear Subspaces and Exact Solutions of Nonlinear Evolutions Equations”, Nonlinear Math. Phys., 3 (1996), 164–169 | DOI | MR