A General Mapping Approach and New T

A General Mapping Approach and New Travelling Wave Solutions to (2+1)-Dimensional Boussinesq Equation

A general mapping deformation method is presented and applied to a (2+1)-dimensional Boussinesq system. Many new types of explicit and exact travelling wave solutions, which contain solitary wave solutions, periodic wave solutions, Jacobian and Weierstrass doubly periodic wave solutions, and other exact excitations like polynomial solutions, exponential solutions, and rational solutions, etc., are obtained by a simple algebraic transformation relation between the (2+1)-dimensional Boussinesq equation and a generalized cubic nonlinear Klein-Gordon equation.

作 者： ZHENG Chun-Long CHEN Li-Qun   作者单位： ZHENG Chun-Long(Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China)

CHEN Li-Qun(Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China) 

刊 名： 理论物理通讯(英文版)  ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS  年，卷(期)： 2004 41(5)  分类号：   关键词： (2+1)-dimensional Boussinesq system   general mapping approach   travelling wave solution  

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