Differential form method for finding symmetries of a (2+1)-dimensional Camassa–Holm system based on its Lax pair

Na Lv, Jian-Qin Mei and Hong-Qing Zhang

Chaos, Solitons & Fractals, 2012, vol. 45, issue 4, 503-506

Abstract: In this paper, we use the differential form method to seek Lie point symmetries of a (2+1)-dimensional Camassa–Holm (CH) system based on its Lax pair. Then we reduce both the system and its Lax pair with the obtained symmetries, as a result some reduced (1+1)-dimensional equations with their new Lax pairs are presented. At last, the conservation laws for the CH system are derived from a direct method.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:4:p:503-506

DOI: 10.1016/j.chaos.2012.01.010

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