Explicit Wave Solutions and Qualitative Analysis of the (1+2)-Dimensional Nonlinear Schrodinger Equation with Dual-Power Law Nonlinearity

摘要

The (1 + 2)-dimensional nonlinear Schrodinger equation with dual-power law nonlinearity is studied using the factorization technique, bifurcation theory of dynamical system, and phase portraits analysis. From a dynamic point of view, the existence of smooth solitary wave, and kink and antikink waves is proved and all possible explicit parametric representations of these waves are presented.