一类非线性薛定谔方程的Jacobi椭圆函数解

Jacobi Elliptic Function Expansion Methed to a New Type of NLS Equations

通过修正的Jacobi椭圆函数展开法求解了一类特殊的非线性薛定谔方程,得一系列准确周期解,还得到一个简单解,在极限情况下这些周期解可退化为相应的孤立波解。另外还给出了一些解的图像,从而说明它们是包络解。

With the asistance of modified Jacobi elliptic function expansion method, not only the Jacobi elliptic sine function solutions, Jacobi elliptic cosine function solutions of a new type of nonlinear Schrodinger （NLS）equation are obtained, but also its simple solution is obtained. The periodic solutions obtained by this method can be reduced to the corresponding solitary solutions under the limit condition. Some of their corresponding graphs drawn with Mathematica and OdginPro are given.