A general mapping approach and new travelling wave solutions to the general variable coefficient KdV equation
Zhu Jia-Min (朱加民)a, Zheng Chun-Long (郑春龙)ab, Ma Zheng-Yi (马正义)a
a Department of Physics, Lishui College, Lishui 323000, China; b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Abstract A general mapping deformation method is applied to a generalized variable coefficient KdV equation. Many new types of exact solutions, including solitary wave solutions, periodic wave solutions, Jacobian and Weierstrass doubly periodic wave solutions and other exact excitations are obtained by the use of a simple algebraic transformation relation between the generalized variable coefficient KdV equation and a generalized cubic nonlinear Klein－Gordon equation.
Received: 01 April 2004
Revised: 23 June 2004
Accepted manuscript online:
Fund: Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant No 100039).
Cite this article:
Zhu Jia-Min (朱加民), Zheng Chun-Long (郑春龙), Ma Zheng-Yi (马正义) A general mapping approach and new travelling wave solutions to the general variable coefficient KdV equation 2004 Chinese Physics 13 2008
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