Finite symmetry transformation groups and exact solutions of Lax integrable systems

doi:10.1088/1009-1963/14/8/003

中国物理B ›› 2005, Vol. 14 ›› Issue (8): 1495-1500.doi: 10.1088/1009-1963/14/8/003

Finite symmetry transformation groups and exact solutions of Lax integrable systems

楼森岳¹, 马红彩²

(1)Center of Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211, China ;Department of Physics, Shanghai Jiaotong University,Shanghai 200030, China; (2)Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China;Department of Mathematics, Donghua University, Shanghai 200051, China

收稿日期:2005-01-12 修回日期:2005-04-19 出版日期:2005-07-13 发布日期:2005-07-13
基金资助:
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)

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

Received:2005-01-12 Revised:2005-04-19 Online:2005-07-13 Published:2005-07-13
Supported by:
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)

摘要/Abstract

摘要： 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.

关键词: finite transformations, Lie point symmetry, Lax pair, integrable

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.

Key words: finite transformations, Lie point symmetry, Lax pair, integrable

中图分类号: (Integrable systems)

02.30.Ik

02.30.Jr (Partial differential equations) 02.20.Sv (Lie algebras of Lie groups)

马红彩, 楼森岳. Finite symmetry transformation groups and exact solutions of Lax integrable systems[J]. 中国物理B, 2005, 14(8): 1495-1500.

Ma Hong-Cai (马红彩), Lou Sen-Yue (楼森岳). Finite symmetry transformation groups and exact solutions of Lax integrable systems[J]. Chinese Physics, 2005, 14(8): 1495-1500.

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Finite symmetry transformation groups and exact solutions of Lax integrable systems

Finite symmetry transformation groups and exact solutions of Lax integrable systems

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