几类含5次强非线性项数理方程的尖峰孤子解  

Peakon solutions for several equations of mathematical physics with fifth-order nonlinear term

作　　者：刘煜[1] 张倩茜[2] 吕卫东[2] 

机构地区：[1]河南省电力公司电力科学研究院,河南郑州450052 [2]河南科技大学电子信息工程学院,河南洛阳471023

出　　处：《安徽大学学报（自然科学版）》2014年第4期37-44,共8页Journal of Anhui University(Natural Science Edition)

基　　金：河南省电力公司电力科学研究院科研基金资助项目

摘　　要：运用积分法和待定系数法求出含5次强非线性项的Lienard方程的几类尖峰孤子解,并据此求出力学中具5次非线性项的波动方程、导数非线性Schrdinger方程和Kundu方程的尖峰孤子解.该文方法也适用于求Ablowitz方程、Gerdjikov-Ivanov方程、广义PC方程、广义导数非线性Schrdinger方程及含有3次非线性项波动方程的尖峰孤子解.Several kinds of peakon solutions for Lienard equation were obtained by means of the integration and the undetermined coefficient method, based on which the peakon solutions for wave equation with fifth- order nonlinear term, derivative nonlinear Schrodinger equation and Kundu equation were obtained. The method used in this paper could also be used for solving many other nonlinear equations such as Ablowitz equation, Gerdjikov-Ivanov equation, generalized PC equation, generalized derivative nonlinear Schrodinger equation and wave equation with third-order nonlinear term.

关 键 词：尖峰孤子解 LIENARD方程 非线性波方程 非线性SCHRODINGER方程 Kundu方程 

分 类 号：O411.1[理学—理论物理]