Explicit and exact travelling plane wave solutions of the (2+1)-dimensional Boussinesq equation

doi:10.1088/1009-1963/12/4/303

中国物理B ›› 2003, Vol. 12 ›› Issue (4): 361-364.doi: 10.1088/1009-1963/12/4/303

Explicit and exact travelling plane wave solutions of the (2+1)-dimensional Boussinesq equation

金美贞¹, 黄文华²

(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

收稿日期:2002-08-16 修回日期:2002-11-08 出版日期:2003-04-16 发布日期:2005-03-16

Explicit and exact travelling plane wave solutions of the (2+1)-dimensional Boussinesq equation

Huang Wen-Hua (黄文华)^ab, Jin Mei-Zhen (金美贞)^c

^a Department of Physics, Jiangxi Yichun University, Yichun 336000, China; ^b Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; ^c College of Educational Science and Technology, Zhejiang Normal University, Jinhua 321004, China

Received:2002-08-16 Revised:2002-11-08 Online:2003-04-16 Published:2005-03-16

摘要/Abstract

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.

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.

Key words: The (2+1)-dimensional Boussinesq equation, nonlinear Klein－Gordon equation, travelling wave solution

中图分类号: (Functional analysis)

02.30.Sa

02.30.Hq (Ordinary differential equations)

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.

Huang Wen-Hua (黄文华), Jin Mei-Zhen (金美贞). Explicit and exact travelling plane wave solutions of the (2+1)-dimensional Boussinesq equation[J]. Chinese Physics, 2003, 12(4): 361-364.

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Explicit and exact travelling plane wave solutions of the (2+1)-dimensional Boussinesq equation

Explicit and exact travelling plane wave solutions of the (2+1)-dimensional Boussinesq equation

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