<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

Pubblicato online: 31 dic 2020

Pagine: 381 - 386

Ricevuto: 08 apr 2020

Accettato: 20 giu 2020

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

Parole chiave
(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.

Fig. 1

Fig. 2

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

Pubblicato online: 31 dic 2020

Pagine: 381 - 386

Ricevuto: 08 apr 2020

Accettato: 20 giu 2020

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

Parole chiave(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.

Fig. 1

Fig. 2

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