Solving (2+1) Dimensional Ablowitz-Kaup-Newell-Segur Equation Using Homotopy Analysis Method

Abstract

This research focus on the homotopy analysis method for solving nonlinear partial differential equations. In this study, we have used the homotopy analysis method (HAM) to obtain approximate analytical solutions of (2+1) dimensional Ablowitz-kaup newell-segur equations. Furthermore, we compared the HAM results and the results obtained by the well-known numerical techniques(FDM). One example(2-dimensional wave equations) and one implementation ((2+1) dimensional Ablowitz-kaup-newell segur-equations) took to show the efficiency and power of this method with plotted graphs using python code.