Finite symmetry transformation groups and exact solutions of Lax integrable systems
Ma Hong-Cai(马红彩)ac, Lou Sen-Yue (楼森岳)ab
a Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China; b Center of Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211, China; c Department of Mathematics, Donghua University, Shanghai 200051, China
Abstract In this paper, the finite symmetry transformation groups and then symmetries of Lax integrable nonlinear physical systems, the Davey--Stewartson equation and the (2+1)-dimensional Camassa--Holm equation are investigated by means of a simple direct method.
Received: 12 January 2005
Revised: 19 April 2005
Accepted manuscript online:
Fund: Project supported by the National Outstanding Youth Foundation of China (Grant No 19925522); the National Natural Science Foundation of China (Grant Nos 90203001 and 10475055)
Cite this article:
Ma Hong-Cai (马红彩), Lou Sen-Yue (楼森岳) Finite symmetry transformation groups and exact solutions of Lax integrable systems 2005 Chinese Physics 14 1495
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