长短波相互作用方程Jacobi椭圆函数新的展开法求解

The new Jacobi elliptic function expansion method by the long-short wave interaction equation

在原有椭圆函数求解方法的基础上,推广了 Jacobi 椭圆函数展开方法,引入 Jacobi 椭圆函数的负幂次展开研究复非线性演化方程组的求解,得到了更多更新的长短波相互作用方程的准确包络周期解.该结果在一定条件下包含了相应的孤波解.

In this paper, the new Jacobi elliptic function method was generalized to study nonlinear evolution system. The envelope periodic solutions of long-short wave interaction equation were obtained. The solitary wave solutions for this model were also given under some conditions.