K-P(Kadoomtsev-Petviashvili)方程的Jacobi椭圆函数包络周期解(英文)

The Envelope Periodic Solutions of K-P Equation with Jacobi Elliptic Function

分别应用Jacobi椭圆函数的正弦函数,余弦函数和第三种Jacobi椭圆函数展开法求得了K-P(Kadoomtsev-Petviashvili)方程的精确包络周期解.由这种方法得到的包络周期解在一定条件下可以退化为包络冲击波解或包络孤立波解.

We obtain some exact envelope periodic solutions for K - P Equation by utilizing the Jacobi elliptic sine function expansion method, the Jacobi elliptic cosine function expansion method and the third kind of Jacobi elliptic function expansion method. These solutions may be reduced to the envelope solitary wave solutions under some conditions.