摘要
给出了六种情形下Lienard方程的Jacobi椭圆函数形式新双周期解.通过适当的变换,将含有三次方和五次方非线性项的广义Pochhammer-Chree(PC)方程、Kundu方程和广义长波-短波共振方程转换为Lienard方程,从而系统地构造出了它们的若干双周期解.
Several new doubly periodic solutions for the Lienard equation are first presented. Then, by means of some proper transformations, the generalized PC （Pochhammer-Chree） equation, the Kundu equation, and the generalized longo short equation are reduced to the Lienard equation. Finally, the doubly periodic solutions of these three nonlinear models are constructed in a systematic way.
出处
《应用数学与计算数学学报》
2015年第4期463-472,共10页
Communication on Applied Mathematics and Computation
基金
国家自然科学基金资助项目(11201290)
