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

被引：19

作者：

Adem, A. R. ^{[1
]}

Muatjetjeja, B. ^{[2
,3
]}

Moretlo, T. S. ^{[3
,4
]}

机构：

[1] Univ South Africa UNISA, Dept Math Sci, ZA-0003 Pretoria, South Africa

[2] Univ Botswana, Fac Sci, Dept Math, Private Bag 22, Gaborone, Botswana

[3] North West Univ, Dept Math Sci, Private Bag X 2046, ZA-2735 Mmabatho, South Africa

[4] Sol Plaatje Univ, Dept Math Sci, Private Bag X 5008, ZA-8300 Kimberley, South Africa

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2023年 / 62卷 / 02期

关键词：

An extended (2+1)-dimensional coupled Burgers system in fluid mechanics; Symmetry reductions; Kudryashov method; Conservation laws; NUMERICAL-SOLUTION; EQUATIONS;

D O I：

10.1007/s10773-023-05298-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The 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.

引用

页数：12

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