中国物理B ›› 2004, Vol. 13 ›› Issue (12): 2008-2012.doi: 10.1088/1009-1963/13/12/006
朱加民1, 马正义1, 郑春龙2
Zhu Jia-Min (朱加民)a, Zheng Chun-Long (郑春龙)ab, Ma Zheng-Yi (马正义)a
摘要: 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.
中图分类号: (Solutions of wave equations: bound states)