Journal of Applied Mathematics

Symmetry Reductions of (2 + 1)-Dimensional CDGKS Equation and Its Reduced Lax Pairs

Na Lv, Xuegang Yuan, and Jinzhi Wang

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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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J. Appl. Math., Volume 2014 (2014), Article ID 527916, 7 pages.

First available in Project Euclid: 2 March 2015

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

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