Stable localized solutions of arbitrary length for the quintic Swift-Hohenberg equation

Physica D: Nonlinear Phenomena

Volumn 97, Issue 1-3, 1996, Pages 274-285

  Sakaguchi, Hidetsugu ^a,b   Brand, Helmut R ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000837163     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(96)00077-2     Document Type: Article

References (42)

1. J.J. Niemela, G. Ahlers and D.S. Cannell, Phys. Rev. Lett. 64 (1990) 1365.
2. P. Kolodner, Phys. Rev. Lett. 69 (1992) 2519;
3. Phys. Rev. A 44 (1991) 6448, 6466.
4. M. Dennin, G. Ahlers and D.S. Cannell, submitted for publication.
5. H.R. Brand, C. Fradin, P.L. Finn and P.E. Cladis, submitted for publication.
6. O. Reynolds, Philos. Trans. Roy. Soc. London Ser. A 174 (1883) 935.
7. D.R. Carlson, S.E. Widnall and M.F. Peeters, J. Fluid Mech. 121 (1982) 487.
8. I.J. Wygnanski and F.H. Champagne, J. Fluid Mech. 59 (1973) 281.
9. P. de Kepper, J.-J. Perraud, B. Rudovics and E. Dulos, Int. J. Bif. Chaos 4 (1994) 1215.
10. M. Dubois, R. DaSilva, F. Daviaud, P. Bergé and A. Petrov, Europhys. Lett. 8 (1989) 135;
11. J. Hegseth, J.M. Vince, M. Dubois and P. Bergé, Europhys. Lett. 17 (1992) 413.
12. K.J. Lee, W.D. McCormick, J.E. Pearson and H.L. Swinney, Nature 369 (1994) 215.
13. P. Umbanhowar and H.L. Swinney (private communication, Nov. 1995) have observed stationary localized states for granular media undergoing the Faraday instability.
14. N.J. Zabusky and M.D. Kruskal, Phys. Rev. Lett. 15 (1965) 240.
15. A.C. Newell, Solitons in Mathematics and Physics (SIAM, Philadelphia, 1985).
16. O. Thual and S. Fauve, J. Phys. (Paris) 49 (1988) 1829.
17. H.R. Brand and R.J. Deissler, Phys. Rev. Lett. 63 (1989) 2801.
18. R.J. Deissler and H.R. Brand, Phys. Lett. A 146 (1990) 252.
19. R.J. Deissler and H.R. Brand, Phys. Lett. A 130 (1988) 293.
20. V. Hakim, P. Jakobsen and Y. Pomeau, Europhys. Lett. 11 (1990) 19.
21. H.R. Brand, P.S. Lomdahl and A.C. Newell, Phys. Lett. A 118 (1986) 67;
22. Physica D 23 (1986) 345.
23. R.J. Deissler and H.R. Brand, Phys. Rev. A 44 (1991) R3411.
24. R.J. Deissler and H.R. Brand, Phys. Rev. Lett. 72 (1994) 478.
25. R.J. Deissler and H.R. Brand, Phys. Rev. Lett. 74 (1995) 4847.
26. R.J. Deissler and H.R. Brand, Phys. Rev. E 51 (1995) R852.
27. H.R. Brand and R.J. Deissler, Physica A 204 (1994) 87.
28. H.R. Brand and R.J. Deissler, Physica A 216 (1995) 288.
29. H.R. Brand and R.J. Deissler, Phys. Rev. Lett. 63 (1989) 508.
30. H.R. Brand and R.J. Deissler, Phys. Rev. A 41 (1990) 5478.
31. R.J. Deissler, Y.C. Lee and H.R. Brand, Phys. Rev. A 42 (1990) 2101.
32. H. Riecke, Europhys. Lett. 11 (1990) 213.
33. H. Sakaguchi, Progr. Theoret. Phys. 89 (1993) 1123.
34. R.J. Deissler and A. Oron, Phys. Rev. Lett. 68 (1992) 2948.
35. H.R. Brand and R.J. Deissler, Phys. Rev. A 46 (1992) 888.
36. H. Sakaguchi, Progr. Theoret. Phys. 87 (1992) 1049.
37. B.A. Malomed, A.A. Nepomnyashchy and M.I. Tribelsky, Phys. Rev. A 42 (1990) 7244.
38. J. Swift and P.C. Hohenberg, Phys. Rev. A 15 (1977) 319.
39. M. Bestehorn and H. Haken, Z. Phys. B 57 (1984) 329.
40. Y. Pomeau, Physica D 23 (1986) 3.
41. H. Sakaguchi, S. Shinomoto and Y. Kuramoto, Progr. Theoret. Phys. 79 (1988) 1069.
42. I. Rehberg, S. Rasenat, M. de la Torre, W. Schöpf, F. Hörner, G. Ahlers and H.R. Brand, Phys. Rev. Lett. 67 (1991) 596.