Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2012-04-01

Journal: CHAOS SOLITONS & FRACTALS

Included Journals: Scopus、EI、SCIE

Volume: 45

Issue: 4

Page Number: 503-506

ISSN: 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.