Perturbative linearization of reaction-diffusion equations

Journal of Physics A: Mathematical and General

Volumn 36, Issue 8, 2003, Pages 2043-2054

  Puri, Sanjay ^a   Wiese, Kay Jörg ^b  

^a JAWAHARLAL NEHRU UNIVERSITY   (India)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037470284     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/8/303     Document Type: Review

References (37)

1. Ablowitz M J and Segur H 1981 Solitons and the Inverse Scattering Transform (SIAM Studies in Applied Mathematics) (Philadelphia: SIAM)
2. Puri S 1990 Int. J. Mod. Phys. B 4 1483
3. Meinhardt H 1982 Models for Biological Pattern Formation (London: Academic)
4. Kuramoto Y 1984 Chemical Oscillations, Waves and Turbulence (Berlin: Springer)
5. van Saarloos W 1994 Spatiotemporal Patterns in Nonequilibrium Systems ed P E Cladis and P Palffy-Muhoray (Reading, MA: Addison-Wesley)
6. Cross M C and Hohenberg P C 1993 Rev. Mod. Phys. 65 851
7. Murray J D 2002 Mathematical Biology: Vols I and II 3rd edn (Berlin: Springer) and references therein
8. Grimson M J and Barker G C 1994 Phys. Rev. E 49 1680
9. Fort J and Mendez V 2002 Rep. Prog. Phys. 65 895
10. Mollison D 1977 J. R. Stat. Soc. B 39 283
11. Hopf E 1950 Commun. Pure Appl. Math. 3 201 Cole J D 1951 Q. Appl. Math. 9 225
12. Hopf E 1950 Commun. Pure Appl. Math. 3 201 Cole J D 1951 Q. Appl. Math. 9 225
13. Burgers J 1974 The Nonlinear Diffusion Equation (Dordrecht: Reidel)
14. Fisher R A 1937 Ann. Eugenics 7 355
15. Kolmogorov A N, Petrovskii I G and Piscounov N S 1937 Bull. Univ. Moscow Ser. Int. A 1 1 Reprinted in Pelce P 1988 Dynamics of Curved Fronts (San Diego: Academic)
16. Kolmogorov A N, Petrovskii I G and Piscounov N S 1937 Bull. Univ. Moscow Ser. Int. A 1 1 Reprinted in Pelce P 1988 Dynamics of Curved Fronts (San Diego: Academic)
17. Hohenberg P C and Halperin B I 1977 Rev. Mod. Phys. 49 435
18. Bray A J 1994 Adv. Phys. 43 357
19. Aronson D G and Weinberger H F 1975 Partial Differential Equations and Related Topics ed J A Goldstein (Berlin: Springer) pp 5-49 see also Aronson D G and Weinberger H F 1978 Adv. Math. 30 33
20. Aronson D G and Weinberger H F 1975 Partial Differential Equations and Related Topics ed J A Goldstein (Berlin: Springer) pp 5-49 see also Aronson D G and Weinberger H F 1978 Adv. Math. 30 33
21. Langer J S and Müller-Krumbhaar H 1983 Phys. Rev. A 27 499 Dee G and Langer J S 1983 Phys. Rev. Lett. 50 6 van Saarloos W 1987 Phys. Rev. Lett. 58 24 van Saarloos W 1988 Phys. Rev. A 37 1
22. Langer J S and Müller-Krumbhaar H 1983 Phys. Rev. A 27 499 Dee G and Langer J S 1983 Phys. Rev. Lett. 50 6 van Saarloos W 1987 Phys. Rev. Lett. 58 24 van Saarloos W 1988 Phys. Rev. A 37 1
23. Langer J S and Müller-Krumbhaar H 1983 Phys. Rev. A 27 499 Dee G and Langer J S 1983 Phys. Rev. Lett. 50 6 van Saarloos W 1987 Phys. Rev. Lett. 58 24 van Saarloos W 1988 Phys. Rev. A 37 1
24. Langer J S and Müller-Krumbhaar H 1983 Phys. Rev. A 27 499 Dee G and Langer J S 1983 Phys. Rev. Lett. 50 6 van Saarloos W 1987 Phys. Rev. Lett. 58 24 van Saarloos W 1988 Phys. Rev. A 37 1
25. Paquette G C, Chen L-Y, Goldenfeld N and Oono Y 1994 Phys. Rev. Lett. 72 76 Paquette G C and Oono Y 1994 Phys. Rev. E 49 2368
26. Paquette G C, Chen L-Y, Goldenfeld N and Oono Y 1994 Phys. Rev. Lett. 72 76 Paquette G C and Oono Y 1994 Phys. Rev. E 49 2368
27. Ablowitz M J and Zeppetella F 1979 Bull. Math. Biol. 41 835 see also Guo B-Y and Chen Z-X 1991 J. Phys. A: Math. Gen. 24 645
28. Ablowitz M J and Zeppetella F 1979 Bull. Math. Biol. 41 835 see also Guo B-Y and Chen Z-X 1991 J. Phys. A: Math. Gen. 24 645
29. Puri S, Elder K R and Desai R C 1989 Phys. Lett. A 142 357 Puri S 1991 Phys. Rev. A 43 7031
30. Puri S, Elder K R and Desai R C 1989 Phys. Lett. A 142 357 Puri S 1991 Phys. Rev. A 43 7031
31. Suzuki M 1976 Prog. Theor. Phys. 56 477
32. Kawasaki K, Yalabik M C and Gunton J D 1978 Phys. Rev. A 17 455
33. Bramson M 1983 Mem. Am. Math. Soc. 285 1
34. Puri S and Bray A J 1994 J. Phys. A: Math. Gen. 27 453
35. Puri S and Roland C 1990 Phys. Lett. A 151 500
36. Bray A J and Puri S 1991 Phys. Rev. Lett. 67 2670
37. Puri S 1992 Phys. Lett. A 164 211