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Symmetry, Integrability and Geometry: Methods and Applications, 2005, Volume 1, 009, 7 pp.
DOI: https://doi.org/10.3842/SIGMA.2005.009 (Mi sigma9) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries

Renat Zhdanova, Victor Lahnob

a Institute of Mathematics, 3 Tereshchenkivs'ka Str., Kyiv 4, 01601 Ukraine
b State Pedagogical University, 2 Ostrogradskogo Str., Poltava, 36003 Ukraine
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DOI: https://doi.org/10.3842/SIGMA.2005.009
Abstract: We give a review of our recent results on group classification of the most general nonlinear evolution equation in one spatial variable. The method applied relies heavily on the results of our paper Acta Appl. Math., 69, 2001, in which we obtain the complete solution of group classification problem for general quasilinear evolution equation.
Keywords: group classification; symmetry; second order nonlinear evolution equation.
Received: September 4, 2005; in final form October 19, 2005; Published online October 25, 2005
Bibliographic databases:
Document Type: Article
MSC: 35K55; 58J70
Language: English
Citation: Renat Zhdanov, Victor Lahno, “Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries”, SIGMA, 1 (2005), 009, 7 pp.
Citation in format AMSBIB
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\by Renat Zhdanov, Victor Lahno
\paper Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries
\jour SIGMA
\yr 2005
\vol 1
\papernumber 009
\totalpages 7
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\zmath{https://zbmath.org/?q=an:1128.35010}
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    • This publication is cited in the following 17 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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