中文说明：非线性薛定谔方程是一个含有孤立子波解的非线性方程。它与诸如非线性光学、等离子体的离子声波等理论物理中的许多非线性间题密切相关，它的解可应用与线性薛定愕方程的特征值问题相关的逆散射问题方法求得。
English Description：
The nonlinear Schrodinger equation is a nonlinear equation with solitary wave solutions. It is closely related to many nonlinear problems in theoretical physics, such as nonlinear optics, ion acoustic waves in plasma and so on. Its solution can be obtained by the inverse scattering method related to the eigenvalue problem of linear Schrodinger equation.