薛定谔扰动耦合系统孤波的行波近似解法

The traveling wave approximation method for solving solitary wave in Schrdinger disturbed coupled system

研究了一类薛定谔非线性耦合系统.利用精确解与近似解相关联的特殊技巧,首先讨论了对应的无扰动耦合系统,利用投射法得到了精确的孤波解.再利用泛函映射方法得到了薛定谔非线性扰动耦合系统的行波近似解.

A class of the Schrodinger nonlinear disturbed coupled system is studied, using the specific technique to relate the exact and approximate solutions. Firstly, the corresponding non-disturbed coupled system is considered. The exact solitary wave solution is obtained by using the projection method. Then, the traveling wave approximation solution to the Schrodinger disturbed coupled system is found by using a functional mapping method.