非线性扰动耦合Schrdinger系统激波的近似解法

Approximate Solving Method of Shock for Nonlinear Disturbed Coupled Schrdinger System

研究了一类非线性扰动耦合Schrdinger系统.利用精确解与近似解相关联的特殊技巧,首先讨论了对应典型的耦合系统,利用投射法得到了精确的激波行波解.再利用近似方法得到了扰动耦合Schrdinger系统的行波渐近解.

A class of the nonlinear disturbed coupled Schrodinger system was studied. Using the specific technique to relate the exact and approximate solutions, firstly, the corresponding typi- cal coupled system was considered. The exact shock travelling solution was obtained by using the mapping method. Then, the travelling asymptotic solutions of the disturbed coupled Schrodinger system was found by using an approximate method.