Lie symmetries and multiple solutions in lambda-omega reaction-diffusion systems

被引：9

作者：

Archilla, JFR

Romero, JL

Romero, FR

Palmero, F

机构：

[1] UNIV CADIZ,DEPT MATEMAT,PUERTO REAL,CADIZ,SPAIN

[2] UNIV SEVILLA,DEPT FAMN,SEVILLE,SPAIN

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 01期

关键词：

D O I：

10.1088/0305-4470/30/1/013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Lie theory of transformation groups is applied to the study of lambda-omega reaction-diffusion systems in two-dimensional media. Our study proves that they are invariant with respect to a five-parameter symmetry group. Multiple types of invariant solutions with physical interest are possible, and some of them can be found in the literature applied to particular models.

引用

页码：185 / 194

页数：10

共 17 条

[1]

CHOW P, 1978, J MATH ANAL APPL, V62, P151

[2] ROTATING SPIRAL WAVE SOLUTIONS OF REACTION-DIFFUSION EQUATIONS [J].

COHEN, DS ;

NEU, JC ;

ROSALES, RR .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 35 (03) :536-547

[3]

Golubitsky M., 1985, SINGULARITIES GROUPS

[4]

GREENBERG JM, 1981, ADV APPL MATH, V2, P450

[5] SPIRAL WAVES IN REACTION-DIFFUSION EQUATIONS [J].

HAGAN, PS .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1982, 42 (04) :762-786

[6]

KOPELL N, 1973, STUD APPL MATH, V52, P291

[7] TURBULIZED ROTATING CHEMICAL WAVES [J].

KURAMOTO, Y ;

KOGA, S .

PROGRESS OF THEORETICAL PHYSICS, 1981, 66 (03) :1081-1085

[8] TWO-DIMENSIONAL SPECTROPHOTOMETRY OF SPIRAL WAVE-PROPAGATION IN THE BELOUSOV-ZHABOTINSKII REACTION .1. EXPERIMENTS AND DIGITAL DATA REPRESENTATION [J].

MULLER, SC ;

PLESSER, T ;

HESS, B .

PHYSICA D, 1987, 24 (1-3) :71-86

[9]

MURRAY J, 1977, LECTURES NONLINEAR D

[10]

Ovsiannikov LV., 1982, Group analysis of differential equations

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