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
收藏
页码:1349 / 1369
页数:21
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