This article is cited in 1 paper

Nonclassical Approximate Symmetries of Evolution Equations with a Small Parameter

Svetlana Kordyukova

Department of Mathematics, Ufa State Aviation Technical University, 12 K. Marx Str., Ufa, 450000 Russia

Abstract: We introduce a method of approximate nonclassical Lie–Bäcklund symmetries for partial differential equations with a small parameter and discuss applications of this method to finding of approximate solutions both integrable and nonintegrable equations.

Keywords: nonclassical Lie–Bäcklund symmetries; approximate symmetry; conditional invariant solution.

MSC: 58J70; 35Q53

Received: November 30, 2005; in final form March 17, 2006; Published online April 10, 2006

Language: English

DOI: 10.3842/SIGMA.2006.040

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ArXiv: math-ph/0604021