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

<p>In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational program is used in constructing a new hyperbolic function solutions to one of the popular nonlinear evolution equations that arises in the field of mathematical physics, namely; longren-wave equation. We also give the 3D and 2D graphics of all the obtained solutions which are explaining new properties of model considered in this paper. Finally, we submit a comprehensive conclusion at the end of this paper.</p>
</abstract>

In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational program is used in constructing a new hyperbolic function solutions to one of the popular nonlinear evolution equations that arises in the field of mathematical physics, namely; longren-wave equation. We also give the 3D and 2D graphics of all the obtained solutions which are explaining new properties of model considered in this paper. Finally, we submit a comprehensive conclusion at the end of this paper.

New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method

Department of Mathematics and Science Education

Applied Mathematics and Nonlinear Sciences

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

In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational program is used in constructing a new hyperbolic function solutions...

New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method

Published Online: Jun 25, 2019

Page range: 129 - 138

Received: Feb 16, 2019

Accepted: Apr 29, 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00013

Keywords
The sine-Gordon expansion method, the longren-wave equation, hyperbolic function solutions

© 2019 Haci Mehmet Baskonus, Hasan Bulut, Tukur Abdulkadir Sulaiman, published by Sciendo

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

New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method

Published Online: Jun 25, 2019

Page range: 129 - 138

Received: Feb 16, 2019

Accepted: Apr 29, 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00013

KeywordsThe sine-Gordon expansion method, the longren-wave equation, hyperbolic function solutions

© 2019 Haci Mehmet Baskonus, Hasan Bulut, Tukur Abdulkadir Sulaiman, published by Sciendo

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

Keywords
The sine-Gordon expansion method, the longren-wave equation, hyperbolic function solutions