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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

A (1+3)-dimensional Boiti-Leon-Manna-Pempinelli Equation: Symmetry Reductions; Exact Solutions; Conservation Laws

Journal of Applied Nonlinear Dynamics 12(1) (2023) 113--123 | DOI:10.5890/JAND.2023.03.008

M. C. Moroke, B. Muatjetjeja, A. R. Adem

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

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

Department of Mathematical Sciences, University of South Africa, UNISA 0003, South Africa

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Abstract

In this paper, a (1+3)-dimensional Boiti-Leon-Manna-Pempinelli equation is investigated. Exact solutions are acquired using the Lie symmetry method and multiple exp-function method via symbolic computation. In addition to exact solutions, we also present conservation laws and their physical ramifications are also discussed. The obtained results enlarge the known category of solutions of the (1+3)-dimensional Boiti-Leon-Manna-Pempinelli equation.

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