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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 040, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.040 (Mi sigma68) 		 
This article is cited in 1 scientific paper (total 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
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DOI: https://doi.org/10.3842/SIGMA.2006.040
URL: https://emis.mi.ras.ru/journals/SIGMA/2006/Paper040
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.
Received: November 30, 2005; in final form March 17, 2006; Published online April 10, 2006
Bibliographic databases:
Document Type: Article
MSC: 58J70; 35Q53
Language: English
Citation: Svetlana Kordyukova, “Nonclassical Approximate Symmetries of Evolution Equations with a Small Parameter”, SIGMA, 2 (2006), 040, 11 pp.
Citation in format AMSBIB
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\paper Nonclassical Approximate Symmetries of Evolution Equations with a~Small Parameter
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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