An Extended (2 + 1)-dimensional Coupled Burgers System in Fluid Mechanics: Symmetry Reductions; Kudryashov Method; Conservation Laws-Reference-Cited by-同舟云学术

An Extended (2 + 1)-dimensional Coupled Burgers System in Fluid Mechanics: Symmetry Reductions; Kudryashov Method; Conservation Laws

Published:2023-02-14 Issue:2 Volume:62 Page:
ISSN:1572-9575
Container-title:International Journal of Theoretical Physics
language:en
Short-container-title:Int J Theor Phys

Author:

Adem A. R.,Muatjetjeja B.,Moretlo T. S.

Abstract

AbstractThe Burgers-type equations are noticed in plasma astrophysics, ocean dynamics, atmospheric science, computational fluid mechanics, cosmology, condensed matter physics, statistical physics, nonlinear acoustics, vehicular traffic, electronic transport, etc. This prompts us to examine an extended (2 + 1)-dimensional coupled Burgers system in fluid mechanics. We determine novel exact solutions by the Lie symmetry method in conjunction with Kurdyshov method. Finally, conservation laws of the abovementioned system are generated. The findings can well mimic complex waves and their dealing dynamics in fluids.

Funder

University of South Africa

Publisher

Springer Science and Business Media LLC

Subject

Physics and Astronomy (miscellaneous),General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10773-023-05298-9.pdf

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