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
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.
Received: 16 August 2002
Revised: 08 November 2002
Accepted manuscript online:
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 2003 Chinese Physics 12 361
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