| Solitons and Waves in （2＋l）-Dimensional Dispersive Long-Wave Equation |
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| 作者姓名： | MA Zheng-Yi LIU Yu-Lu LU Zhi-Ming ZHENG Chun-LongLU Zhi-Ming and ZHENG Chun-Long |
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| 作者单位： | [1]Shaaghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China [2]Department of Mathematics, Zhejiang Lishui University, Lishui 323000, China |
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| 基金项目： | The project supported by National Natural Science Foundation of China under Grant No. 10272071, the Natural Science Foundation of Zhejiang Province under Grant No. Y604106, and the Key Academic Discipline of Zhejiang Province under Grant No. 200412.The authors are in debt to Prof. J.F. Zhang and Dr. W.H. Huang for their helpful suggestions and fruitful discussions. |
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| 摘 要： | For a higher-dimensional integrable nonlinear dynamical system, there are abundant coherent soliton excitations. With the aid of an improved projective Riccati equation approach, the paper obtains several types of exact solutions to the （2＋l）-dimenslonal dispersive long-wave equation, including multiple-soliton solutions, periodic soliton solutions, and Weierstrass function solutions. From these solutions, apart from several multisoliton excitations, we derive some novel features of wave structures by introducing some types of lower-dimensional patterns.
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| 关 键 词： | 3维分散长波方程 投影Riccati方程逼近 孤立子湮灭 行波 |
| 收稿时间： | 2006-01-06 |
| 修稿时间： | 2006-01-062006-03-09 |
Solitons and Waves in (2+1)-Dimensional Dispersive
Long-Wave Equation |
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| MA Zheng-Yi LIU Yu-Lu LU Zhi-Ming ZHENG Chun-LongLU Zhi-Ming, and ZHENG Chun-Long.Solitons and Waves in (2+1)-Dimensional Dispersive
Long-Wave Equation[J].Communications in Theoretical Physics,2006,46(5):799-803. |
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| Authors: | MA Zheng-Yi LIU Yu-Lu LU Zhi-Ming ZHENG Chun-Long |
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| Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
;2. Department of Mathematics, Zhejiang Lishui University, Lishui 323000, China |
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| Abstract: | For a higher-dimensional integrable nonlinear dynamical system, there are abundant coherent soliton excitations. With the aid of an improved projective Riccati equation approach, the paper obtains several types of exact solutions to the (2+1)-dimensional dispersive long-wave equation,
including multiple-soliton solutions, periodic soliton solutions, and
Weierstrass function solutions. From these solutions, apart from several
multisoliton excitations, we derive some novel features of wave structures by introducing some types of lower-dimensional patterns. |
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| Keywords: | (2+1)-dimensional dispersive long-wave equation projective Riccati equation approach soliton annihilation traveling wave |
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