摘要
The generalized nonlinear Schrdinger equation with parabolic law nonlinearity is studied by using the factorization technique and the method of dynamical systems.From a dynamic point of view,the existence of smooth solitary wave,kink and anti-kink wave is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of the parametric space are given.Also,all possible explicit exact parametric representations of the waves are presented.
基金
Supported by the National Natural Science Foundation of China under Grant No.11461022
the Major Natural Science Foundation of Yunnan Province under Grant No.2014FA037
