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Journal of Applied Nonlinear Dynamics 12(2) (2023) 353--361 | DOI:10.5890/JAND.2023.06.012

T. Goitsemang$^{1}$, B. Muatjetjeja$^{1,2}$, D. M. Mothibi$^{3}$, T. G. Motsumi${^1}$

$^1$ Department of Mathematics, Faculty of Science, University of Botswana, Private Bag 22, Gaborone, Botswana

$^2$ Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, Republic of South Africa

$^3$ Department of Mathematical Sciences, Sol Plaatje University, Private Bag X5008, Kimberley 8300, Republic of South Africa

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Abstract

This study aims to establish exact solutions of a new (3+1) Date-Jimbo-Kashiwara-Miwa equation. The method of the modern group analysis will be implemented to derive exact solutions of the aforementioned equation. In addition, the variational method will be employed to construct conserved vectors of a new (3+1) Date-Jimbo-Kashiwara-Miwa equation. Furthermore, a brief physical interpretation of these conserved vectors will be mentioned.

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