Lienard方程的新双周期解及其应用  

New doubly periodic solutions for Lienard equation and its applications

作　　者：徐桂琼[1] 郁志清[1] 

机构地区：[1]上海大学管理学院,上海200444

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)

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.

关 键 词：LIENARD方程 双周期解 广义PC方程 Kundu方程 广义长波-短波共振方程 

分 类 号：O175.29[理学—数学]