Soliton solution of high-order nonlinear Schrodinger equation based on ansatz method

In this paper, we define different ansatz equations to study two classes of high-order nonlinear Schrodinger equations. The concrete forms of soliton solutions of these two classes of equations are obtained by using this equation. This paper briefly summarizes and explains the method used and applies it to two classes of specific equations. Finally, the concrete form of solutions and the necessary conditions for the existence of solutions are obtained, and pictures are added to assist understanding.

Automated summary

In this paper, we investigate two classes of high-order nonlinear Schrodinger equations and obtain the concrete forms of soliton solutions by defining different ansatz equations. The method used is briefly summarized and explained, and applied to two specific classes of equations. Finally, the specific forms of solutions and the necessary conditions for their existence are obtained, with added pictures for better understanding.