A SIMPLE METHOD FOR GROUP-ANALYSIS AND ITS APPLICATION TO A MODEL OF DETONATION

被引：47

作者：

IBRAGIMOV, NH ^{[1
]}

TORRISI, M ^{[1
]}

机构：

[1] RUSSIAN ACAD SCI,INST MATH MODELLING,MOSCOW 125047,USSR

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1992年 / 33卷 / 11期

关键词：

D O I：

10.1063/1.529841

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A simple procedure is suggested to obtain extensions of the principal Lie algebra, for invariance transformations of a given family of equations, by using an equivalence algebra. An application to a qualitative model of detonation is performed.

引用

页码：3931 / 3937

页数：7

共 7 条

[1]

AKHATOV IS, 1991, J SOVIET MATH, V55, P1401, DOI DOI 10.1007/BF01097533

[2] DETONATION IN MINIATURE [J].

FICKETT, W .

AMERICAN JOURNAL OF PHYSICS, 1979, 47 (12) :1050-1059

[3] DECAY OF SMALL PLANAR PERTURBATIONS ON A STRONG STEADY DETONATION - A DIFFERENTIAL-DIFFERENCE EQUATION FOR THE SHOCK [J].

FICKETT, W .

PHYSICS OF FLUIDS, 1987, 30 (05) :1299-1309

[4]

FICKETT W, 1985, INTRO DETONATION

[5] STABILITY OF A DETONATION-WAVE [J].

HALL, FS ;

LUDFORD, GSS .

PHYSICA D, 1987, 28 (1-2) :1-17

[6] PRELIMINARY GROUP CLASSIFICATION OF EQUATIONS VTT=F(X,VX)VXX+G(X,VX) [J].

IBRAGIMOV, NH ;

TORRISI, M ;

VALENTI, A .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (11) :2988-2995

[7]

POMPEI A, 1990, 38 ATT SEM MAT FIS U, P425

← 1 →