On the reduction and solution of the reverse space-time nonlocal Fokas–Lenells equation

Abstract

Fokas–Lenells equation is a dynamical system used to model propagation of nonlinear pulses. Different reductions of the Fokas–Lenells system lead to various formulas of the equation including local and nonlocal versions. In addition, different approaches have been employed in the literature to explore the solutions of the Fokas–Lenells equations. In this paper we propose a reverse space-time reduction that leads to a nonlocal version of the Fokas–Lenells model. Furthermore, we present a calculation of the solution of the proposed equation based on known results in the literature from the Hirota bilinear direct method. The one-soliton and two-soliton solutions have been explicitly described and graphically illustrated.