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Journal of Applied Nonlinear Dynamics 9(1) (2020) 109--114 | DOI:10.5890/JAND.2020.03.009

Ben Muatjetjeja$^{1}$, Tshepo. E. Mogorosi$^{2}$

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

$^{2}$ North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa

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Abstract

Symmetry analysis is performed on a coupled Jaulent-Miodek system, which arises in many branches of physics such as particle physics and fluid dynamics. The similarity reductions and new exact solutions are constructed. Subsequently, conservation laws are derived using the multiplier approach.

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