New Wave Behaviours of the Generalized Kadomtsev- Petviashvili Modified Equal Width-Burgers Equation

Authors

Karmina K. Ali, Faculty of Science, Department of Mathematics, University of Zakho, Zakho, Iraq\\ Faculty of Science, Department of Mathematics, Firat University, Elazig, TurkeyFollow
Resat Yilmazer, Faculty of Science, Department of Mathematics, Firat University, Elazig, TurkeyFollow
Hasan Bulut, Faculty of Science, Department of Mathematics, Firat University, Elazig, TurkeyFollow
Asif Yokus, Faculty of Science, Department of Mathematics, Firat University, Elazig, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

In this article, we applied two different methods namely as the (1/G′ )-expansion method and the Bernoulli sub-equation method to investigate the generalized Kadomtsev-Petviashvili modified equal width-Burgers equation, which is designated the propagation of long-wave with dissipation and dispersion in nonlinear media. To transform the given equation into a nonlinear ordinary differential equation, a traveling wave transformation has been carried out. As a result, we constructed distinct exact solutions like complex solutions, singular solutions, and complex singular solutions. Besides, 2D, 3D, and contour surfaces are illustrated to demonstrate the physical properties of the obtained solutions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160212

Recommended Citation

K. Ali, Karmina; Yilmazer, Resat; Bulut, Hasan; and Yokus, Asif (2022) "New Wave Behaviours of the Generalized Kadomtsev- Petviashvili Modified Equal Width-Burgers Equation," Applied Mathematics & Information Sciences: Vol. 16: Iss. 2, Article 12.
DOI: http://dx.doi.org/10.18576/amis/160212
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss2/12