| General Jacobian elliptic function expansion method and its applications |
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| 作者姓名： | 朱加民 马正义 方建平 郑春龙 张解放 |
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| 作者单位： | Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China; Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China;Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China;Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China;Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 10172056). |
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| 摘 要： | An extended Jacobian elliptic function expansion method is presented and successfully applied to the nonlinear SchrSdinger (NLS) equation and Zakharov equation. We obtain some new solutions besides Fu et al‘s results. The results show that our method is more powerful to construct Jacobian elliptic function and can be applied to other nonlinear physics systems.
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| 关 键 词： | 非线性薛定谔方程 雅可比椭圆函数 孤立波解 Zakharov方程 函数展开 封闭周期解 |
| 收稿时间： | 2003-03-19 |
General Jacobian elliptic function expansion method and its applications |
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| Zhu Jia-Min,Ma Zheng-Yi,Fang Jian-Ping,Zheng Chun-Long and Zhang Jie-Fang.General Jacobian elliptic function expansion method and its applications[J].Chinese Physics B,2004,13(6):798-804. |
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| Authors: | Zhu Jia-Min Ma Zheng-Yi Fang Jian-Ping Zheng Chun-Long and Zhang Jie-Fang |
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| Institution: | Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China; Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China; Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China; Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China |
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| Abstract: | An extended Jacobian elliptic function expansion method is presented and successfully applied to the nonlinear Schr?dinger (NLS) equation and Zakharov equation. We obtain some new solutions besides Fu et al's results. The results show that our method is more powerful to construct Jacobian elliptic function and can be applied to other nonlinear physics systems. |
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| Keywords: | nonlinear Schr?dinger equation Zakharov equation Jacobian elliptic function solitary wave solution |
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