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

<p>Researching different solutions of nonlinear models has been interesting in different fields of science and application. In this study, we investigated different solutions of fourth-order nonlinear Ablowitz– Kaup–Newell–Segur wave equation. We have used the sine-Gordon expansion method (SGEM) during this research. We have given the 2D, 3D, and contour graphs acquired from the values of the solutions obtained using strong SGEM.</p>
</abstract>

Researching different solutions of nonlinear models has been interesting in different fields of science and application. In this study, we investigated different solutions of fourth-order nonlinear Ablowitz– Kaup–Newell–Segur wave equation. We have used the sine-Gordon expansion method (SGEM) during this research. We have given the 2D, 3D, and contour graphs acquired from the values of the solutions obtained using strong SGEM.

New Complex and Hyperbolic Forms for Ablowitz–Kaup–Newell–Segur Wave Equation with Fourth Order

Applied Mathematics and Nonlinear Sciences

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

Researching different solutions of nonlinear models has been interesting in different fields of science and application. In this study, we investigated...

New Complex and Hyperbolic Forms for Ablowitz–Kaup–Newell–Segur Wave Equation with Fourth Order

Published Online: Jun 24, 2019

Page range: 93 - 100

Received: Jan 21, 2019

Accepted: Apr 29, 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00010

Keywords
The sine-Gordon expansion method, Ablowitz–Kaup–Newell–Segur wave equation, complex hyperbolic function solutions

© 2019 Esin İnan Eskitaşçıoğlu et al., published by Sciendo

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

New Complex and Hyperbolic Forms for Ablowitz–Kaup–Newell–Segur Wave Equation with Fourth Order

Published Online: Jun 24, 2019

Page range: 93 - 100

Received: Jan 21, 2019

Accepted: Apr 29, 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00010

KeywordsThe sine-Gordon expansion method, Ablowitz–Kaup–Newell–Segur wave equation, complex hyperbolic function solutions

© 2019 Esin İnan Eskitaşçıoğlu et al., published by Sciendo

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

Keywords
The sine-Gordon expansion method, Ablowitz–Kaup–Newell–Segur wave equation, complex hyperbolic function solutions