| Issue |
ITM Web Conf.
Volume 22, 2018
The Third International Conference on Computational Mathematics and Engineering Sciences (CMES2018)
|
|
|---|---|---|
| Article Number | 01032 | |
| Number of page(s) | 6 | |
| DOI | https://doi.org/10.1051/itmconf/20182201032 | |
| Published online | 17 October 2018 | |
Complex Acoustic Gravity Wave Behaviors to a Mathematical Model Arising in Nonlinear Mathematical Physics
1
Department of Mathematics, Ordu University, Ordu, Turkey
2
Department of Mathematics, Firat University, Elazig, Turkey
3
Department of Mathematics, Federal University Dutse, Jigawa, Nigeria
4
Department of Computer of Engineering, Munzur University, Tunceli, Nigeria
5
Department of Mathematics Education, Final University, Girne, Cyprus
* Corresponding author: tolgaakturkk@gmail.com
In this article, we utilize the powerful sine-Gordon expansion method (SGEM) in constructing some new solutions to the (2 + 1)-dimensional Boiti-Leon-Pempinelli equation by using the Mathematica software. We successfully obtain some new travelling solutions bearing some new structures such as trigonometric function, exponential function and hyperbolic function structures. We claim that some of our results are complex in structure. All the solutions obtained verified the the (2 + 1)-dimensional Boiti-Leon-Pempinelli equation. To illustrate our results, present the numerical simulation of all the obtained solutions in this study by selecting appropriate values of the parameters. Furthermore, we give the physical interpretation of all the graphics. We also give the physical meaning to some of the obtained results in this study.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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