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

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• 作者：Na Lv ; ^{lvnakeke@gmail.com} ; Jian-Qin Mei ; Hong-Qing Zhang
• 刊名：Chaos ; Solitons and Fractals
• 出版年：2012
• 期刊代码：5_09600779
• 类别：ph
• 出版时间：April, 2012
• 卷：45
• 期：4
• 页码：503-506
• 文件大小：209 K

摘要

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.