Investigation of Travelling Wave Solutions for the (2+1)-Dimensional Ablowitz-Kaup-Newell-Segur Equation
Abstract
In this study, modified sub equation method was applied to the (2+1)-Ablowitz-Kaup-Newell-Segur (AKNS) equation. This analytical method, trigonometric, hyperbolic and rational type solutions have been produced. Contour, 3D and 2D graphs representing stationary wave are drawn by giving random values to the constants in these solutions. Using symbolic computation, this method is shown to be an effective, powerful and reliable tool for generating nonlinear evolution equations (NEDEs).
Keywords
Modified sub equation method , nonlinear evolution equation , exact solution.
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