Renat Zhdanov, Victor Lahno, “Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries”, SIGMA, 2005, Volume 1,009, 7 pp.

This article is cited in 17 papers

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

Renat Zhdanov^a, Victor Lahno^b

^a Institute of Mathematics, 3 Tereshchenkivs'ka Str., Kyiv 4, 01601 Ukraine
^b State Pedagogical University, 2 Ostrogradskogo Str., Poltava, 36003 Ukraine

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.

MSC: 35K55; 58J70

Received: September 4, 2005; in final form October 19, 2005; Published online October 25, 2005

Language: English

DOI: 10.3842/SIGMA.2005.009