| New explicit exact solutions for a generalized Hirota—Satsuma coupled KdV system and a coupled MKdV equation |
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| 引用本文： | 陈 勇,闫振亚,李 彪,张鸿庆.New explicit exact solutions for a generalized Hirota—Satsuma coupled KdV system and a coupled MKdV equation[J].中国物理 B,2003,12(1):1-10. |
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| 作者姓名： | 陈 勇 闫振亚 李 彪 张鸿庆 |
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| 作者单位： | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 1007201), the State Key Development Programme for Basic Research of China (Grant No G1998030600), and the Doctorate Fund of the State Education Commission of China (Grant No 98014119). |
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| 摘 要： | In this paper, we make use of a new generalized ansatz in the homogeneous balance method, the well-known Riccati equation and the symbolic computation to study a generalized Hirota--Satsuma coupled KdV system and a coupled MKdV equation, respectively. As a result, numerous explicit exact solutions, comprising new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained.
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| 关 键 词： | 非线性偏微分程 KdV系统 MKdV方程 严格解 |
| 收稿时间： | 1/3/2002 12:00:00 AM |
New explicit exact solutions for a generalized Hirota-Satsuma coupled KdV system and a coupled MKdV equation |
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| Cheng Yong,Yan Zhen-Y,Li Biao and Zhang Hong-Qing.New explicit exact solutions for a generalized Hirota-Satsuma coupled KdV system and a coupled MKdV equation[J].Chinese Physics B,2003,12(1):1-10. |
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| Authors: | Cheng Yong Yan Zhen-Y Li Biao and Zhang Hong-Qing |
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| Institution: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | In this paper, we make use of a new generalized ansatz in the homogeneous balance method, the well-known Riccati equation and the symbolic computation to study a generalized Hirota--Satsuma coupled KdV system and a coupled MKdV equation, respectively. As a result, numerous explicit exact solutions, comprising new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained. |
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| Keywords: | coupled MKdV system Riccati equation solitary wave solution periodic wave solution |
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