摘要
利用F-展开法和齐次平衡原则,求出了变系数KdV方程组的Jacobi椭圆函数表示的周期解,在极限情况下,得到变系数KdV方程组的孤波解以及其它形式的解.
In this paper, by using the homogenous balance principle and F-expansion method, the periodic wave solutions expressed by Jacobi elliptic fuctions to the KdV equations with variable coefficients are derived, and in the limit case, the solitary wave solutions and other type solutions for KdV equations with variable coefficients equations are obtained as well.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2007年第6期670-673,共4页
Journal of Sichuan Normal University(Natural Science)
基金
四川省重点学科建设基金资助项目
关键词
变系数KdV方程组
F-展开法
周期解
KdV equations with variable coefficients
F-expansion method
Periodic wave solutions