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

Christina Majola

Christina Majola

Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng CampusRepublic of South Africa
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Majola, Christina
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Letlhogonolo Daddy Moleleki

Letlhogonolo Daddy Moleleki

Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng CampusRepublic of South Africa
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Moleleki, Letlhogonolo Daddy
  
Nov 25, 2022
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Published Online: Nov 25, 2022
Page range: 361 - 370
Received: Jun 23, 2022
Accepted: Oct 18, 2022
DOI: https://doi.org/10.2478/amns.2021.2.00323
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© 2023 Christina Majola et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

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.

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English
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Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
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