Applied Mathematics and Nonlinear Sciences
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Journal

Applied Mathematics and Nonlinear Sciences


Volume & Issue

Volume 6, Issue 2


Published on

November 25, 2022


Pages

361-370


DOI

10.2478/amns.2021.2.00323
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Article

Symmetry analysis and exact solutions of extended Kadomtsev-Petviashvili equation in fluids

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Authors

Christina Majola Affiliation:
Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa and Letlhogonolo Daddy Moleleki Affiliation:
Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa


Abstract

The extended Kadomtsev-Petviashvili (eKP) equation in fluids is investigated by using Lie symmetry analysis. The symmetry reductions, together with the simplest equation method, are used to obtain exact solutions of the eKP equation. Finally, we derive the conservation laws of eKP by using multiplier approach.


Keywords

extended Kadomtsev-Petviashvili equation, Lie symmetry analysis, simplest equation method, conservation laws


Citation

Majola, C. & Moleleki, L. D. (2021). Symmetry analysis and exact solutions of extended kadomtsev-petviashvili equation in fluids. Applied Mathematics and Nonlinear Sciences, 6(2), 361–370. https://doi.org/10.2478/amns.2021.2.00323
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