The exact solutions of Fokas-Lenells equation based on Jacobi elliptic function expansion method

Abstract

Abstract The Fokas-Lenells (FL) equation, which is rich in physical property in soliton theory as well as optical fiber, is a generalization of the higher-order Schrödinger equation. We construct the periodic solutions of the FL equation based on the Jacobi elliptic function expansion method in this context. Moreover, the characteristics of the obtained solutions are visualized graphically by selecting appropriate parameters.

Keywords

• Jacobi elliptic function
• Fokas-Lenells equation
• Exact solution