New Perception of the Optical Solutions to the Fokas-Lenells Equation According to Two Different Techniques

Abstract In this article, the perturbed Fokas-Lenells equation (FLE)” which plays a vital role in modern asocial media and electronic communication” is employed. Two important different methods are invited to demonstrating new accurate solutions of this equation. The first method is the modified simple equation method (MSEM) that reduces large volume of calculations and realizes closed form solution. While the second is the modified extended tanh-function method (METFM) “which controlled by the auxiliary Ricatti equation” and used effectively to obtain accurate solutions Furthermore, few of the realized results are compatible with that obtained by previous authors elsewhere the others remains new. In addition to the varitional iteration method (VIM )is applied perfectly to achieved the numerical solution corresponding to the exact solution realized by each one of these methods individually.