Symmetries and similarity reductions of a new (2+1)-dimensional shallow water wave system

被引：8

作者：

Ping, Liu ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200240, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2008年 / 49卷 / 03期

关键词：

(2+1)-dimensional shallow water wave system; classical Lie group approach; symmetries; similarity reductions;

D O I：

10.1088/0253-6102/49/3/06

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The symmetries of a (2+1)-dimensional shallow water wave system, which is newly constructed through applying variation principle of analytic mechanics, are researched in this paper. The Lie symmetries and the corresponding reductions are obtained by means of classical Lie group approach. The (1+1) dimensional displacement shallow water wave equation can be derived from the reductions when special symmetry parameters are chosen.

引用

页码：555 / 558

页数：4

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