<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The aim of the present study is to obtain different types of hyperbolic type solutions of the (2+1)-Ablowitz-Kaup-Newell-Segur (AKNS) equation. In order to construction exact solutions of AKNS equation, (1/<italic>G</italic>′)-expansion method is successfully applied. At the end of this application, singular soliton wave with considerable importance for the shock wave structure and asymptotic behavior employees have emerged. By giving arbitrary values to the constants in the solutions obtained, 3D, 2D and contour graphics are presented. The method used in this article can be used in other nonlinear differential equations (NPDEs) as it is reliable, easy and effective. Ready package programs are used to solve complex and difficult processes in this study.</p>
</abstract>

The aim of the present study is to obtain different types of hyperbolic type solutions of the (2+1)-Ablowitz-Kaup-Newell-Segur (AKNS) equation. In order to construction exact solutions of AKNS equation, (1/G′)-expansion method is successfully applied. At the end of this application, singular soliton wave with considerable importance for the shock wave structure and asymptotic behavior employees have emerged. By giving arbitrary values to the constants in the solutions obtained, 3D, 2D and contour graphics are presented. The method used in this article can be used in other nonlinear differential equations (NPDEs) as it is reliable, easy and effective. Ready package programs are used to solve complex and difficult processes in this study.

Exact solutions of (2 + 1)-Ablowitz-Kaup-Newell-Segur equation

Department of Computer Engineering, Faculty of Engineering

Department of Actuary, Faculty of Science

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Exact solutions of (2 + 1)-Ablowitz-Kaup-Newell-Segur equation"}

The aim of the present study is to obtain different types of hyperbolic type solutions of the (2+1)-Ablowitz-Kaup-Newell-Segur (AKNS) equation. In order to...

Exact solutions of (2 + 1)-Ablowitz-Kaup-Newell-Segur equation

Published Online: Dec 31, 2020

Page range: 381 - 386

Received: Apr 08, 2020

Accepted: Jun 20, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00074

Keywords
(1/′)-expansion method, hyperbolic traveling wave solution, singular soliton wave, analytical solution

© 2020 Hülya Durur et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Exact solutions of (2 + 1)-Ablowitz-Kaup-Newell-Segur equation

Published Online: Dec 31, 2020

Page range: 381 - 386

Received: Apr 08, 2020

Accepted: Jun 20, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00074

Keywords(1/′)-expansion method, hyperbolic traveling wave solution, singular soliton wave, analytical solution

© 2020 Hülya Durur et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
(1/′)-expansion method, hyperbolic traveling wave solution, singular soliton wave, analytical solution