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2014 Symmetry Reductions of (2 + 1)-Dimensional CDGKS Equation and Its Reduced Lax Pairs
Na Lv, Xuegang Yuan, Jinzhi Wang
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/527916

Abstract

With the aid of symbolic computation, we obtain the symmetry transformations of the (2 + 1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation by Lou’s direct method which is based on Lax pairs. Moreover, we use the classical Lie group method to seek the symmetry groups of both the CDGKS equation and its Lax pair and then reduce them by the obtained symmetries. In particular, we consider the reductions of the Lax pair completely. As a result, three reduced (1 + 1)-dimensional equations with their new Lax pairs are presented and some group-invariant solutions of the equation are given.

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Na Lv. Xuegang Yuan. Jinzhi Wang. "Symmetry Reductions of (2 + 1)-Dimensional CDGKS Equation and Its Reduced Lax Pairs." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/527916

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131667
MathSciNet: MR3256314
Digital Object Identifier: 10.1155/2014/527916

Rights: Copyright © 2014 Hindawi

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