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摘要: 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.
Abstract: 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.
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