Generalized Jacobi Elliptic Function Method for Traveling Wave Solutions of Some Nonlinear Schrödinger’s Equations

Abstract

In this study, we found the traveling wave solutions of these equations by applying (3+1)-dimensional nonlinear Schrödinger’s equation and coupled nonlinear Schrödinger’s equation to Generalized Jacobi elliptic function method. We have expressed these solutions both as Jacobi elliptical solutions and trigonometric and hyperbolic solutions. We present two and three dimensional graphics of some solutions we have found. We also state some studies on these equations.