Finite symmetry transformation groups and exact solutions of the cylindrical Korteweg-de Vries equation

Wang-Chuan Ye and Biao Li

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 2623-2628

Abstract: Based on the new symmetry group method developed by Lou et al. and symbolic computation, both the Lie point groups and the non-Lie symmetry groups of the cylindrical Korteweg-de Vries (cKdV) equation are obtained. With the transformation groups, a type of group invariant solutions of cKdV equation can be derived from a simple one. Furthermore, some transformations from the cKdV equation to KP equation can also be discovered by this method.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:2623-2628

DOI: 10.1016/j.chaos.2009.03.186

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