{1+1}维空间中变系数KdV方程组的精确解

Explicit Solutions to the {1+1}-dimensional KdV Equations with Variable Coefficients

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.