Analysis of the Solutions of the Equation Modeled in the Field of Nonlinear Sciences

In this article, the travelling wave solutions of the fourth-order nonlinear Ablowitz-Kaup-Newell-Segur (AKNS) equation are investigated using the modified exponential function method (MEFM). This method is used to find analytical travelling wave solutions of the AKNS equation. The different travelling wave solutions are obtained by determining the appropriate values for the parameters. Two and three dimensional graphics of the different wave solutions found in this way are plotted with the help of Mathematica package program by determining the appropriate parameters.