Analysis of exact solutions and stability analysis of a (2+1)-dimensional nonlinear Schrödinger equation

In this paper, a class of (2+1)-dimensional nonlinear generalized Schrödinger equation is studied. The exact expressions of the travelling wave solution and the optical soliton solution of the model are obtained by mathematical method. For the special soliton solutions, we use ansatz method to obtain specific bright and dark soliton solutions and their existence constraints. The dynamic behaviours of all kinds of exact solutions are discussed by numerical simulation. In addition, MI analysis was used to evaluate the stability of the equations.