Symmetry Solutions and Conserved Quantities of an Extended (1+3)-Dimensional Kadomtsev-Petviashvili- Like Equation

Authors

Oke Davies Adeyemo, International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South AfricaFollow
Chaudry Masood Khalique, International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa\\ Department of Mathematics and Informatics, Azerbaijan University, Jeyhun Hajibeyli str., 71, AZ1007, Baku, AzerbaijanFollow

Author Country (or Countries)

Azerbaijan

Abstract

In this paper, we study an extended (1+3)-dimensional Kadomtsev-Petviashvili-like equation. Lie symmetry reductions of the equation were performed and direct integration technique was adopted. Kudryashov’s approach was utilized to generate a closed- form solution of the equation. Besides, we employ power series approach to secure a solution of the underlying equation. Solutions found for the underlying equation include hyperbolic function as well as series solutions of the equation. In conclusion, we construct conserved quantities of the aforementioned equation by invoking Ibragimov’s theorem.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150514

Recommended Citation

Davies Adeyemo, Oke and Masood Khalique, Chaudry (2021) "Symmetry Solutions and Conserved Quantities of an Extended (1+3)-Dimensional Kadomtsev-Petviashvili- Like Equation," Applied Mathematics & Information Sciences: Vol. 15: Iss. 5, Article 14.
DOI: http://dx.doi.org/10.18576/amis/150514
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss5/14