| Linear superposition method for （2＋1）-dimensional nonlinear wave equations |
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| 引用本文： | 林机,王瑞敏,叶丽军.Linear superposition method for （2＋1）-dimensional nonlinear wave equations[J].中国物理 B,2006,15(4):665-670. |
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| 作者姓名： | 林机 王瑞敏 叶丽军 |
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| 作者单位： | (1)Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;International Centre for Theoretical Physics, Trieste 34014, Italy; (2)Normal College of Jinhua College of Profession and Technology, Jinhua 321004, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 10575087) and the Natural Foundation of Zhejiang Province (Grant No 102053). |
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| 摘 要： | New forms of different-periodic travelling wave solutions for the
(2+1)-dimensional Zakharov--Kuznetsov (ZK) equation and the
Davey--Stewartson (DS) equation are obtained by the linear
superposition approach of Jacobi elliptic function. A sequence of
cyclic identities plays an important role in these procedures.
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| 关 键 词： | 线性叠加法 三维非线性波动方程 行波 Zakharov-Kuznetsov方程 |
| 收稿时间： | 2005-05-26 |
| 修稿时间： | 2005-05-262005-11-22 |
Linear superposition method for (2+1)-dimensional nonlinear wave equations |
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| Lin Ji,Wang Rui-Min and Ye Li-Jun.Linear superposition method for (2+1)-dimensional nonlinear wave equations[J].Chinese Physics B,2006,15(4):665-670. |
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| Authors: | Lin Ji Wang Rui-Min and Ye Li-Jun |
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| Institution: | Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; International Centre for Theoretical Physics, Trieste 34014, Italy; Normal College of Jinhua College of Profession and Technology, Jinhua 321004, China |
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| Abstract: | New forms of different-periodic travelling wave solutions for the
(2+1)-dimensional Zakharov--Kuznetsov (ZK) equation and the
Davey--Stewartson (DS) equation are obtained by the linear
superposition approach of Jacobi elliptic function. A sequence of
cyclic identities plays an important role in these procedures. |
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| Keywords: | linear superposition nonlinear equation travelling wave solution |
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