Algebraic resolution of the Burgers equation with a forcing term

被引：5

作者：

Sinuvasan, R. ^{[1
]}

Tamizhmani, K. M. ^{[1
]}

Leach, P. G. L. ^{[1
,2
,3
]}

机构：

[1] Pondicherry Univ, Dept Math, Kalapet 605014, India

[2] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Private Bag X54001, ZA-4000 Durban, South Africa

[3] Durban Univ Technol, Dept Math, Inst Syst Sci, POB 1334, ZA-4000 Durban, South Africa

来源：

PRAMANA-JOURNAL OF PHYSICS | 2017年 / 88卷 / 05期

关键词：

Lie algebra; Burgers equation; symmetry reduction; DEPENDENT HARMONIC-OSCILLATOR; LARGE-SCALE STRUCTURE; CHARGED-PARTICLE; TURBULENCE; INTERMITTENCY; INVARIANTS; UNIVERSE; MOTION; MODEL;

D O I：

10.1007/s12043-017-1382-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce an inhomogeneous term, f (t, x), into the right-hand side of the usual Burgers equation and examine the resulting equation for those functions which admit at least one Lie point symmetry. For those functions f (t, x) which depend nontrivially on both t and x, we find that there is just one symmetry. If f is a function of only x, there are three symmetries with the algebra sl (2, R). When f is a function of only t, there are five symmetries with the algebra sl (2, R) circle plus(s) 2A(1). In all the cases, the Burgers equation is reduced to the equation for a linear oscillator with nonconstant coefficient.

引用

页数：6

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