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Approximate conditional symmetries for partial differential equations. (English) Zbl 0954.35016
The method of approximate conditional symmetries is developed for partial differential equations with small parameter. It is used for obtaining new approximative solutions for one class of nonlinear waves and heat equations. The reviewed article can be considered as an application of the work [V. A. Bajkov, R. K. Gazizov and N. Kh. Ibragimov, J. Sov. Math. 55, No. 1, 1450-1490 (1991; Zbl 0722.35005)].

MSC:
35A30 Geometric theory, characteristics, transformations in context of PDEs
58J70 Invariance and symmetry properties for PDEs on manifolds
35K55 Nonlinear parabolic equations
35L70 Second-order nonlinear hyperbolic equations
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