基于Lame方程研究非线性Schrdinger方程的行波解

摘要

Nonlinear Schrodinger equation is studied from the perspective of Lame equation with explicit solution. Several forms traveling wave solutions of nonlinear Schrodinger equation are derived with the help of the perturbation method.%从Lame方程显示解的角度,研究非线性Schrdinger方程,利用微扰展开法得到了非线性Schrdinger方程的几类行波解,并对其解进行分析.