Exact solutions of a third order nonlinear Schrodinger equation with time variable coefficients

This paper mainly analyzes the different solutions of the generalized nonlinear Schrödinger equation. First, the coefficients of the equation are divided into variable coefficients and constant coefficients, and their bright and dark soliton solutions are obtained, respectively. Second, the solution was successfully obtained by introducing the series into the equation; Finally, the solution to the Schrödinger equation was obtained through similarity transformation. In addition, by selecting different parameters, some figures of the solutions are displayed.