A study on the (2+1)–dimensional first extended Calogero-Bogoyavlenskii- Schiff equation

Chaudry Masood Khalique; Kentse Maefo; Chaudry Masood Khalique; Kentse Maefo

doi:10.3934/mbe.2021293

Mathematical Biosciences and Engineering

2021, Volume 18, Issue 5: 5816-5835. doi: 10.3934/mbe.2021293

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A study on the (2+1)–dimensional first extended Calogero-Bogoyavlenskii- Schiff equation

Chaudry Masood Khalique ^{1,2,3
,
,},
Kentse Maefo ³

1.
International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa
2.
Department of Mathematics and Informatics, Azerbaijan University, Jeyhun Hajibeyli str., 71, AZ1007, Baku, Azerbaijan
3.
The African Institute for Mathematical Sciences (AIMS) of South Africa, 6 Melrose Road, Muizenberg, 7945 Cape Town, South Africa

Received: 23 March 2021 Accepted: 07 May 2021 Published: 28 June 2021

This article studies a (2+1)–dimensional first extended Calogero-Bogoyavlenskii-Schiff equation, which was recently introduced in the literature. We derive Lie symmetries of this equation and then use them to perform symmetry reductions. Using translation symmetries, a fourth-order ordinary differential equation is obtained which is then solved with the aid of Kudryashov and $(G'/G)-$ expansion techniques to construct closed-form solutions. Besides, we depict the solutions with the appropriate graphical representations. Moreover, conserved vectors of this equation are computed by engaging the multiplier approach as well as Noether's theorem.

Keywords:

extended Calogero-Bogoyavlenskii-Schiff equation,
Lie symmetries,
Noether's theorem,
Kudryashov's method,
conservation laws

Citation: Chaudry Masood Khalique, Kentse Maefo. A study on the (2+1)–dimensional first extended Calogero-Bogoyavlenskii- Schiff equation[J]. Mathematical Biosciences and Engineering, 2021, 18(5): 5816-5835. doi: 10.3934/mbe.2021293

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Abstract

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