| Explicit and exact travelling plane wave solutions of the （2＋1）—dimensional Boussinesq equation |
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| 引用本文： | 黄文华,金美贞.Explicit and exact travelling plane wave solutions of the （2＋1）—dimensional Boussinesq equation[J].中国物理 B,2003,12(4):361-364. |
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| 作者姓名： | 黄文华 金美贞 |
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| 作者单位： | (1)College of Educational Science and Technology, Zhejiang Normal University, Jinhua 321004, China; (2)Department of Physics, Jiangxi Yichun University, Yichun 336000, China; Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China |
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| 摘 要： | The deformation mapping method is applied to solve a system of (2+1)-dimensional Boussinesq equations. Many types of explicit and exact travelling plane wave solutions, which contain solitary wave solutions,periodic wave solutions,Jacobian elliptic function solutions and others exact solutions, are obtained by a simple algebraic transformation relation between the (2+1)-dimensional Boussinesq equation and the cubic nonlinear Klein－Gordon equation.
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| 关 键 词： | The (2+1)-dimensional Boussinesq equation nonlinear Klein－Gordon equation travelling wave solution |
| 收稿时间： | 2002-08-16 |
Explicit and exact travelling plane wave solutions of the (2+1)-dimensional Boussinesq equation |
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| Huang Wen-Hua and Jin Mei-Zhen.Explicit and exact travelling plane wave solutions of the (2+1)-dimensional Boussinesq equation[J].Chinese Physics B,2003,12(4):361-364. |
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| Authors: | Huang Wen-Hua and Jin Mei-Zhen |
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| Affiliation: | Department of Physics, Jiangxi Yichun University, Yichun 336000, China; Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; College of Educational Science and Technology, Zhejiang Normal University, Jinhua 321004, China |
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| Abstract: | The deformation mapping method is applied to solve a system of (2+1)-dimensional Boussinesq equations. Many types of explicit and exact travelling plane wave solutions, which contain solitary wave solutions,periodic wave solutions,Jacobian elliptic function solutions and others exact solutions, are obtained by a simple algebraic transformation relation between the (2+1)-dimensional Boussinesq equation and the cubic nonlinear Klein－Gordon equation. |
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| Keywords: | The (2+1)-dimensional Boussinesq equation nonlinear Klein－Gordon equation travelling wave solution |
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