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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

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) (2021) 65--79 | DOI:10.5890/JAND.2021.03.004

T.S. Moretlo$^1$, B. Muatjetjeja$^{1,2}$, A.R. Adem$^3$

$^1$ Department of Mathematical Sciences, North-West University, Private Bag X 2046, Mmabatho 2735, South Africa

$^2$ Department of Mathematics, Faculty of Science, University of Botswana, Private Bag 22, Gaborone, Botswana

$^3$ Department of Mathematical Sciences, University of South Africa, UNISA 0003, South Africa

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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.

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