Manakov型非线性Schrdinger方程的Jacobi椭圆函数包络解

The envelope solutions to the coupled nonlinear Schrdinger equation of Manakov type with Jacobi elliptic functions*

简化了扩展的Jacobi椭圆函数展开法 ,亦即对修正的Jacobi椭圆函数展开法进行了扩展 .把这种方法应用于Manakov型非线性Schr dinger方程 ,得到了Jacobi椭圆函数包络解 .在一定条件下 ,这些解退化成相应的包络冲击波解和包络孤立波解 .

We have simplified the extended Jacobi elliptic function expansion method, namely, improved the modified Jacobi elliptic function expansion method. We applied this method to solve the coupled nonlinear Schrdinger equation of Manakov type and obtained some Jacobi elliptic envelope solutions and corresponding solitary wave solution, shock wave solution.