摘要
通过选取适当的变换结合假设待定法,求出了具高阶非线性项的Liénard方程a″(ξ)+la(ξ)+ma2p+1(ξ)+na4p+1(ξ)=0的8类显式精确解,据此求出了广义长短波方程的孤波解、奇异行波解和三角函数型周期波解.
In this paper, the eight kinds of explicit and exact solutions of the Liénard equation with high order nonlinear term are found by combining the appropriate transformation and the ansatz method. According to the results obtained from above the solitary wave solutions, singular traveling wave solutions and periodic traveling wave solutions of triangle function type to the generalized Long-Short wave equation with any high order nonlinear term are obtained.
出处
《广州大学学报（自然科学版）》
CAS
2006年第6期1-6,共6页
Journal of Guangzhou University:Natural Science Edition
基金
国家自然科学基金资助项目(10271034)
广州市教育局科技计划资助项目(200526)
关键词
广义长短波方程
显式精确解
变换
LIÉNARD方程
假设待定法
the generalized Long-Short wave equation
explicit and exact solution
transformation
Liénard equation
ansatz method
