symmetry reductions of (2 + 1)-dimensional cdgks equation and its reduced lax pairs

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ID: 128283
2014
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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.
Reference Key
lv2014journalsymmetry Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Na Lv;Xuegang Yuan;Jinzhi Wang
Journal Chemico-biological interactions
Year 2014
DOI
10.1155/2014/527916
URL
http://dx.doi.org/10.1155/2014/527916
Keywords Keywords not found

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