Lie algebra of coupled higher-dimensional forced Burgers' equation

被引：0
|
作者：
Halder, Amlan K. [1 ]
Charalambous, Kyriakos [2 ,3 ]
Sinuvasan, R. [4 ]
Leach, P. G. L. [5 ,6 ]
机构：
[1] Pondicherry Univ, Dept Math, Pondicherry 605014, India
[2] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus
[3] Univ Nicosia, Dept Math, CY-1700 Nicosia, Cyprus
[4] VIT AP Univ, Dept Math, Amaravati 522237, Andhra Pradesh, India
[5] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa
[6] Durban Univ Technol, Inst Syst Sci, Durban, South Africa
来源：
AFRIKA MATEMATIKA | 2021年 / 32卷 / 7-8期
基金：
新加坡国家研究基金会;
关键词：
Symmetries; Integrability; Coupled Burger's equation; Reduction of order; DIFFERENTIAL-EQUATIONS; TURBULENCE;
D O I：
10.1007/s13370-021-00926-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Symmetry analysis of coupled higher-dimensional forced Burgers' equation is investigated for various cases. The Lie algebra for the various cases of forcing terms is investigated. Interestingly, for a linear forcing term, the symmetry analysis leads to the Ermakov-Pinney equation and time-dependent oscillator equation.
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页码：1657 / 1667
页数：11
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