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.
Thanks
This work was created as a part of the research process on "Travelling Wave Solutions of Nonlinear Partial Differential Equations" carried out in the Department of Mathematics, Faculty of Arts and Sciences, Kafkas University. The author would like to express her sincere gratitude to Kafkas University for their great contribution to the success of the study
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