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Painlevé expansions for nonintegrable evolution equations. (English) Zbl 0687.35093
Summary: The WTC (Weiss, Tabor and Carnevale) method is applied to a variety of nonintegrable nonlinear evolution equations and shown to provide a systematic procedure for obtaining special solutions. Some of the special techniques developed for integrable systems are also shown to be applicable to nonintegrable equations.
MSC:
35Q99PDE of mathematical physics and other areas
35G10Initial value problems for linear higher-order PDE
35K25Higher order parabolic equations, general