<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

Online veröffentlicht: 25. Juni 2019

Seitenbereich: 129 - 138

Eingereicht: 16. Feb. 2019

Akzeptiert: 29. Apr. 2019

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

Schlüsselwörter
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.

Fig. 1

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Fig. 4

Fig. 5

Fig. 6

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

Online veröffentlicht: 25. Juni 2019

Seitenbereich: 129 - 138

Eingereicht: 16. Feb. 2019

Akzeptiert: 29. Apr. 2019

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

SchlüsselwörterThe 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.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

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