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 50 条

[1] Logarithmic spiral solutions of the Kopell-Howard lambda-omega reaction-diffusion equations
Troy, William C.
[J]. CHAOS, 2022, 32 (05)
[2] ON THE EVOLUTION OF PERIODIC PLANE-WAVES IN REACTION-DIFFUSION SYSTEMS OF LAMBDA-OMEGA TYPE
SHERRATT, JA
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1994, 54 (05) : 1374 - 1385
[3] UNSTABLE WAVE-TRAINS AND CHAOTIC WAKES IN REACTION-DIFFUSION SYSTEMS OF LAMBDA-OMEGA TYPE
SHERRATT, JA
[J]. PHYSICA D, 1995, 82 (1-2): : 165 - 179
[4] Absolute Stability of Wavetrains Can Explain Spatiotemporal Dynamics in Reaction-Diffusion Systems of Lambda-Omega Type
Smith, Matthew J.
Rademacher, Jens D. M.
Sherratt, Jonathan A.
[J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2009, 8 (03): : 1136 - 1159
[5] Explicit periodic travelling waves for a discrete lambda-omega reaction-diffusion system
Lin, Jian Jhong
Huang, Shao Yuan
Cheng, Sui Sun
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2014, 20 (09) : 1289 - 1306
[6] Existence of periodic travelling wave solutions of non-autonomous reaction-diffusion equations with lambda-omega type
Huang, Shao Yuan
Cheng, Sui Sun
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 409 (01) : 607 - 613
[7] Lie symmetries of nonlinear reaction-diffusion systems with variable diffusivities
Cherniha, R
King, JR
[J]. GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES, 2003, 173 : 717 - 720
[8] Lie symmetries of nonlinear multidimensional reaction-diffusion systems: II
Cherniha, R
King, JR
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (02): : 405 - 425
[9] Lie symmetries of nonlinear multidimensional reaction-diffusion systems: I
Cherniha, R
King, JR
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (02): : 267 - 282
[10] Stable periodic solutions to Lambda-Omega lattice dynamical systems
Bramburger, Jason J.
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (07) : 3201 - 3254

← 1 2 3 4 5 →