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Indexed by:期刊论文

Date of Publication:2012-04-01

Journal:CHAOS SOLITONS & FRACTALS

Included Journals:SCIE、EI、Scopus

Volume:45

Issue:4

Page Number:503-506

ISSN No.:0960-0779

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. (C) 2012 Elsevier Ltd. All rights reserved.