| A Discrete Lax-Integrable Coupled System Related to Coupled KdV and Coupled mKdV Equations |
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| 作者姓名： | 刘萍 贾曼 楼森岳 |
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| 作者单位： | [1]Department of Physics, Shanghai jiao Tong University, Shanghai 200240 [2]Center of Nonlinear Science, Ningbo University, Ningbo 315211 |
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| 基金项目： | Supported by the National Natural Science Foundations of China under Grant Nos 10475055 and 90503006, and the Scientific Research Fund of Zhejiang Province under Grant No 20040969. |
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| 摘 要： | A modified Korteweg-de Vries （mKdV） lattice is found to be also a discrete Korteweg-de Vries （KdV） equation. A discrete coupled system is derived from the single lattice equation and its Lax pair is proposed. The coupled system is shown to be related to the coupled KdV and coupled mKdV systems which are widely used in physics.
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| 关 键 词： | 孤波解 五阶 非线性演化方程 KdV方程 |
| 收稿时间： | 2007-6-23 |
| 修稿时间： | 2007-06-23 |
A Discrete Lax-Integrable Coupled System Related to Coupled KdV and Coupled mKdV Equations |
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| LIU Ping,JIA Man,LOU Sen-Yue.A Discrete Lax-Integrable Coupled System Related to Coupled KdV and Coupled mKdV Equations[J].Chinese Physics Letters,2007,24(10):2717-2719. |
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| Authors: | LIU Ping JIA Man LOU Sen-Yue |
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| Institution: | 1.Department of Physics, Shanghai Jiao Tong University, Shanghai 200240. 2. Center of Nonlinear Science, Ningbo University, Ningbo 315211 |
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| Abstract: | A modified Korteweg--de Vries (mKdV) lattice is found to be also a discrete Korteweg--de Vries (KdV) equation. A discrete coupled system is derived from the single lattice equation and its Lax pair is proposed. The coupled system is shown to be related to the coupled KdV and coupled mKdV systems which are widely used in physics. |
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| Keywords: | 02 30 Ik 47 35 Fg 02 30 Jr |
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