Group classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. II. Generalized Turing systems

被引:24
|
作者
Nikitin, A. G. [1 ]
机构
[1] Natl Acad Sci Ukraine, Inst Math, UA-01601 Kiev, Ukraine
关键词
reaction-diffusion systems; quasilinear parabolic systems; turing systems; group classification; symmetries;
D O I
10.1016/j.jmaa.2006.10.032
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Group classification of systems of two coupled non-linear reaction-diffusion equation with a diagonal diffusion matrix is carried out. Symmetries of diffusion systems with singular diffusion matrix and additional first order derivative terms are described. (C) 2006 Elsevier Inc. All fights reserved.
引用
收藏
页码:666 / 690
页数:25
相关论文
共 50 条
  • [31] Effect of randomness and anisotropy on Turing patterns in reaction-diffusion systems
    Bose, I
    Chaudhuri, I
    PHYSICAL REVIEW E, 1997, 55 (05) : 5291 - 5296
  • [32] TURING PATTERNS AND WAVEFRONTS FOR REACTION-DIFFUSION SYSTEMS IN AN INFINITE CHANNEL
    Chen, Chao-Nien
    Ei, Shin-Ichiro
    Lin, Ya-Ping
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2010, 70 (08) : 2822 - 2843
  • [33] Square Turing patterns in reaction-diffusion systems with coupled layers
    Li, Jing
    Wang, Hongli
    Ouyang, Qi
    CHAOS, 2014, 24 (02)
  • [34] Turing instability in sub-diffusive reaction-diffusion systems
    Nec, Y.
    Nepomnyashchy, A. A.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (49) : 14687 - 14702
  • [35] PARTICLE-SYSTEMS AND REACTION-DIFFUSION EQUATIONS
    DURRETT, R
    NEUHAUSER, C
    ANNALS OF PROBABILITY, 1994, 22 (01): : 289 - 333
  • [36] Reaction-Diffusion Equations with Applications to Economic Systems
    Ganguly, Srinjoy
    Neogi, Upasana
    Chakrabarti, Anindya S.
    Chakraborti, Anirban
    ECONOPHYSICS AND SOCIOPHYSICS: RECENT PROGRESS AND FUTURE DIRECTIONS, 2017, : 131 - 144
  • [37] SOLUTIONS TO SYSTEMS OF NONLINEAR REACTION-DIFFUSION EQUATIONS
    ROSEN, G
    BULLETIN OF MATHEMATICAL BIOLOGY, 1975, 37 (03) : 277 - 289
  • [38] REGULARITY ANALYSIS FOR SYSTEMS OF REACTION-DIFFUSION EQUATIONS
    Goudon, Thierry
    Vasseur, Alexis
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2010, 43 (01): : 117 - 142
  • [39] Amplitude equations and chemical reaction-diffusion systems
    Ipsen, M
    Hynne, F
    Sorensen, PG
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (07): : 1539 - 1554
  • [40] AUTOWAVE PROPAGATION FOR GENERAL REACTION-DIFFUSION SYSTEMS
    MOLOTKOV, IA
    VAKULENKO, SA
    WAVE MOTION, 1993, 17 (03) : 255 - 266