| Lax可积系统的有限变换对称群及严格解 |
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| 引用本文： | 马红彩,楼森岳.Lax可积系统的有限变换对称群及严格解[J].中国物理 B,2005,14(8):1495-1500. |
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| 作者姓名： | 马红彩 楼森岳 |
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| 作者单位： | Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China;Department of Mathematics, Donghua University, Shanghai 200051, China;Center of Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211, China ;Department of Physics, Shanghai Jiaotong University,Shanghai 200030, China |
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| 基金项目： | 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) |
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| 摘 要： | 本文用一种简单直接的方法研究了非线性物理系统Davey-Stewartson方程及（２＋１）维的Camassa-Holm方程，并给出了它们的有限变换对称群及对称。
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| 关 键 词： | 有限变换，Lie点对称，Lax对，可积性 |
| 收稿时间： | 2005-01-12 |
Finite symmetry transformation groups and exact solutions of Lax integrable systems |
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| Ma Hong-Cai and Lou Sen-Yue.Finite symmetry transformation groups and exact solutions of Lax integrable systems[J].Chinese Physics B,2005,14(8):1495-1500. |
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| Authors: | Ma Hong-Cai and Lou Sen-Yue |
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| Institution: | Center of Nonlinear Science and Department of Physics, Ningbo University, Ningbo 315211, China ;Department of Physics, Shanghai Jiaotong University,Shanghai 200030, China; Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China;Department of Mathematics, Donghua University, Shanghai 200051, China |
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| 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. |
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| Keywords: | finite transformations Lie point symmetry Lax pair integrable |
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