| Multi-linear Variable Separation Approach to Solve a （1＋1）-Dimensional Coupled Integrable Dispersionless System |
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| 作者姓名： | SHEN Shou-Feng |
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| 作者单位： | Department of Mathematics, Zhejiang University of Technology, Hangzhou 310014, China |
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| 基金项目： | The project supported by the Science Foundation of Zhejiang University of Technology |
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| 摘 要： | The multi-linear variable separation approach （MLVSA ） is very useful to solve （2＋1）-dimensional integrable systems. In this letter, we extend this method to solve a （1＋1）-dimensional coupled integrable dispersion-less system. Namely, by using a Backlund transformation and the MLVSA, we find a new general solution and define a new ＂universal formula＂. Then, some new （1＋1）-dimensional coherent structures of this universal formula can be found by selecting corresponding functions appropriately. Specially, in some conditions, bell soliton and kink soliton can transform each other, which are illustrated graphically.
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| 关 键 词： | 多线性变量分离 可积分系统 MLVSA 连贯结构 离散系统 对称群 |
| 收稿时间： | 2004-11-01 |
| 修稿时间： | 2004-11-012005-06-21 |
Multi-linear Variable Separation Approach to Solve a
(1+1)-Dimensional Coupled Integrable Dispersionless System |
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| SHEN Shou-Feng.Multi-linear Variable Separation Approach to Solve a
(1+1)-Dimensional Coupled Integrable Dispersionless System[J].Communications in Theoretical Physics,2005,44(5):779-782. |
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| Authors: | SHEN;Shou-Feng |
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| Institution: | Department of Mathematics, Zhejiang University of Technology,
Hangzhou 310014, China |
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| Abstract: | The multi-linear variable separation approach (MLVSA) is very
useful to solve (2+1)-dimensional integrable systems. In this
letter, we extend this method to solve a (1+1)-dimensional coupled
integrable dispersion-less system. Namely, by using a Bäcklund
transformation and the MLVSA, we find a new general solution and
define a new “universal formula”. Then, some new (1+1)-dimensional
coherent structures of this universal formula can be found by
selecting corresponding functions appropriately. Specially, in
some conditions, bell soliton and kink soliton can transform each
other, which are illustrated graphically. |
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| Keywords: | variable separation approach (1+1)-dimensional coupled integrable dispersion-less system coherent structure |
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