Applications of extended modified auxiliary equation mapping method for high-order dispersive extended nonlinear Schrödinger equation in nonlinear optics

Abstract

In this paper, we discussed analytically higher order dispersive extended nonlinear Schrödinger equation with the aid of newly developed technique named as extended modified auxiliary equation mapping method. As a result, we have found a variety of new families of exact traveling wave solutions including bright, dark, half-bright, half-dark, combined, periodic, doubly periodic, with the help of three parameters, which is the key importance of this method. For physical description of our newly obtained solutions, we have expressed them graphically using Mathematica 10.4 to explain more efficiently the behavior of different shapes of solutions.