SIMILARITY SOLUTIONS TO BURGERS' EQUATION IN TERMS OF SPECIAL FUNCTIONS OF MATHEMATICAL PHYSICS

被引：9

作者：

Ozis, Turgut ^{[1
]}

Aslan, Ismail ^{[2
]}

机构：

[1] Ege Univ, Dept Math, Izmir, Turkey

[2] Izmir Inst Technol, Dept Math, Izmir, Turkey

来源：

ACTA PHYSICA POLONICA B | 2017年 / 48卷 / 07期

关键词：

NONLINEAR EVOLUTION-EQUATIONS; FINITE-ELEMENT APPROACH; NUMERICAL-SOLUTION; MODEL-EQUATIONS; APPROXIMATE; REDUCTION; DYNAMICS; LIQUID; SCHEME; WAVES;

D O I：

10.5506/APhysPolB.48.1349

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the Lie group method is used to investigate some closed form solutions of famous Burgers' equation. A detailed and complete symmetry analysis is performed. By similarity transformations, the equation is reduced to ordinary differential equations whose general solutions are written in terms of the error function, Kummer's confluent hypergeometric function Phi (a; b; x) and Bessel functions J(p), showing the strong connection between the best mathematical modelling equations and the special functions of mathematical physics.

引用

页码：1349 / 1369

页数：21

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