Lie Symmetry Analysis and Conservation Laws of a Two-Wave Mode Equation for the Integrable Kadomtsev-Petviashvili Equation

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Authors

  • T.S. Moretlo Department of Mathematical Sciences, North-West University, Private Bag X 2046, Mmabatho 2735, Author
  • B. Muatjetjeja Department of Mathematical Sciences, North-West University, Private Bag X 2046, Mmabatho 2735,; Department of Mathematics, Faculty of Science, University of Botswana, Private Author
  • A.R. Adem Department of Mathematical Sciences, University of South Africa, UNISA 0003, Author

DOI:

https://doi.org/10.5890/JAND.2021.03.004

Abstract

Lie symmetry analysis is performed on a two-wave mode equation for the integrable Kadomtsev-Petviashvili (TKP) equation which describes the propagation of two different wave modes in the same direction simultaneously. The similarity reductions and an exact solution are computed. In addition to this, we derive the conservation laws for the underlying equation.

References

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PublishedMarch 2021

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How to Cite

Moretlo, T., Muatjetjeja, B., & Adem, A. (2026). Lie Symmetry Analysis and Conservation Laws of a Two-Wave Mode Equation for the Integrable Kadomtsev-Petviashvili Equation. Journal of Applied Nonlinear Dynamics, 10(1), 65-79. https://doi.org/10.5890/JAND.2021.03.004