Reflection of active waves in reaction-diffusion media

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 243, Issue 1-2, 1998, Pages 47-51

  Matsuoka, C ^a   Shimodoi, K ^a   Iizuka, T ^a   Hasegawa, T ^a  

^a EHIME UNIVERSITY   (Japan)

Author keywords

Eikonal; Reaction diffusion system; Reflection

Indexed keywords

DYNAMIC MODELS; GEOMETRICAL OPTICS; LINEAR EQUATIONS; REFLECTION; REFRACTIVE INDEX; WAVEFRONTS;

EIKONAL; RANKINE-HUGONIOT RELATIONS; REACTION DIFFUSION; REACTION DIFFUSION EQUATIONS; REACTION DIFFUSION SYSTEMS; SPATIAL IN-HOMOGENEITY; TOTAL INTERNAL REFLECTIONS; TRANSITION LAYERS;

DIFFUSION IN LIQUIDS;

EID: 0012605740     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00172-8     Document Type: Article

References (18)

1. K.I. Agladze, P. de Kepper, in Spatio-Temporal Organization in Non-equilibrium Systems, eds. S.C. Müller, T. Plesser (Projekt Verlag, Dortmund, 1992) p. 1.
2. A.M. Zhabotinsky, M.D. Eager, I.R. Epstein, Phys. Rev. Lett. 71 (1993) 1526.
3. P.K. Braznik, J.J. Tyson, Phys. Rev. E 54 (1996) 1996.
4. C. Oosawa, Y. Fukuta, K. Natsume, K. Kometani, J. Phys. Chem. 100 (1996) 1043.
5. S.-C. Hwang, T. Halpin-Healy, Phys. Rev. E 54 (1996) 3009.
6. [61 J.P. Keener, SIAM J. Appl. Math. 46 (1986) 1039.
7. J.J. Tyson, J.P. Keener, Physica D 21 (1986) 307.
8. J.P. Keener, Physica D 31 (1988) 269.
9. G.B. Whitham, J. Fluid Mech. 1 (1956) 290.
10. G.B. Whitham, J. Fluid Mech. 2 (1957) 146.
11. G.B. Whitham, J. Fluid Mech. 4 (1958) 337.
12. P. Grindrod, The Theory and Applications of Reaction-Diffusion Equations, 2nd ed. (Clarendon, Oxford, 1996).
13. J. Smoller, Shock Waves and Reaction-Diffusion Equations, 2nd ed. (Springer, New York, 1994).
14. G.B. Whitham, Linear and Non-linear Waves (Wiley, New York, 1974).
15. M. Brio, J.K. Hunter, Physica D 60 (1992) 194.
16. H. Tokunaga, T. Tatsumi, J. Phys. Soc. Jpn. 38 (1975) 1167.
17. J. Glimm, C. Klingenberg, O. McBryan, B. Plohr, D. Sharp, S. Yaniv, Adv. Appl. Math. 6 (1985) 259.
18. C. Oosawa, K. Kometani, J. Phys. Chem. 100 (1996) 11643.