Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 040, 11 pages      math-ph/0604021      https://doi.org/10.3842/SIGMA.2006.040

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

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

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.

Key words: nonclassical Lie-Bäcklund symmetries; approximate symmetry; conditional-invariant solution.

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