Solitons pinned to hot spots

European Physical Journal D

Volumn 59, Issue 1, 2010, Pages 81-89

  Tsang, C H ^a   Malomed, B A ^b   Lam, C K ^a   Chow, K W ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

DISSIPATIVE SOLITONS; EXACT SOLUTION; GINZBURG-LANDAU EQUATIONS; KERR NONLINEARITY; LOCALIZED NON-LINEARITIES; MODEL-BASED OPC; NUMERICAL TESTS; SELF-DEFOCUSING;

SOLITONS;

EID: 77954955580     PISSN: 14346060     EISSN: 14346079     Source Type: Journal    
DOI: 10.1140/epjd/e2010-00073-0     Document Type: Article

References (60)

1. F. Lederer, G.I. Stegeman, D.N. Christodoulides, G. Assanto, M. Segev, Y. Silberberg, Phys. Rep. 436, 1 (2008)
2. Y.V. Kartashov, V.A. Vysloukh, L. Torner, in Progress in Optics (Elsevier B. V., Amsterdam, 2009), Vol.52, p. 63
3. S. Maneuf, F. Reynaud, Opt. Commun. 65, 325 (1988)
4. J.S. Aitchison, A.M. Weiner, Y. Silberberg, M.K. Oliver, J.L. Jackel, D.E. Leaird, E.M. Vogel, P.W.E. Smith, Opt. Lett. 15, 471 (1990)
5. R. Schiek, Y. Baek, G.I. Stegeman, Phys. Rev. E 53, 1138 (1996)
6. M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992)
7. G.C. Duree, J.L. Shultz, G.J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E.J. Sharp, R.R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993)
8. M. Segev, G.C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994)
9. D.N. Christodoulides, M.I. Carvalho, J. Opt. Soc. Am. B 12, 1628 (1995)
10. G. Assanto, M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003)
11. C. Conti, M. Peccianti, G. Assanto, Phys. Rev. Lett. 92, 113902 (2004)
12. W. Królikowski, O. Bang, N.I. Nikolov, D. Neshev, J. Wyller, J.J. Rasmussen, D. Edmundson, J. Opt. B Quantum Semiclass. Opt. 6, S288 (2004)
13. L.A. Lugiato, Chaos Solit. Fract. 4, 1251 (1994)
14. H.R. Brand, R.J. Deissler, Physica A 204, 87 (1994)
15. W.J. Firth, A.J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996)
16. L. Spinelli, G. Tissoni, M. Brambilla, F. Prati, L.A. Lugiato, Phys. Rev. A 58, 2542 (1998)
17. A.M. Dunlop, E.M. Wright, W.J. Firth, Opt. Commun. 147, 393 (1998)
18. D. Michaelis, U. Peschel, F. Lederer, Opt. Lett. 23, 337 (1998)
19. M. Tlidi, P. Mandel, Phys. Rev. A 59, R2575 (1999)
20. G.L. Oppo, A.J. Scroggie, W.J. Firth, J. Opt. B Quantum Semiclass. Opt. 1, 133 (1999)
21. R. Vilaseca, M.C. Torrent, J. Garcia-Ojalvo, M. Brambilla, M. San Miguel, Phys. Rev. Lett. 87, 083902 (2001)
22. S. Barland, J.R. Tredicce, M. Brambilla, L.A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knodl, M. Miller, R. Jager, Nature 419, 699 (2002)
23. D.V. Skryabin, A.G. Vladimirov, Phys. Rev. Lett. 89, 044101 (2002)
24. C. Etrich, D. Michaelis, F. Lederer, J. Opt. Soc. Am. B 19, 792 (2002)
25. K. Staliunas, Phys. Rev. Lett. 91, 053901 (2003)
26. N.N. Rosanov, S.V. Fedorov, A.N. Shatsev, J. Exp. Theor. Phys. 102, 547 (2006)
27. B. Terhalle, N. Radwell, P. Rose, C. Denz, T. Ackemann, Appl. Phys. Lett. 93, 151114 (2008)
28. N.N. Rosanov, Spatial Hysteresis and Optical Patterns (Springer, Berlin, 2002)
29. Dissipative Solitons, edited by N. Akhmediev, A. Ankiewicz, Lect. Notes Phys. 661 (Springer, Berlin, 2005)
30. I.S. Aranson, L. Kramer, Rev. Mod. Phys. 74, 99 (2002)
31. B.A. Malomed, in Encyclopedia of Nonlinear Science, edited by A. Scott (Routledge, New York, 2005), p. 157
32. L.M. Hocking, K. Stewartson, Proc. R. Soc. London Ser. A 326, 289 (1972)
33. N.R. Pereira, L. Stenflo, Phys. Fluids 20, 1733 (1977)
34. B.A. Malomed, M. Gölles, I.M. Uzunov, F. Lederer, Physica Scripta 55, 73 (1997)
35. K.W. Chow, C.K. Lam, K. Nakkeeran, B. Malomed, J. Phys. Soc. Jpn 77, 054001 (2008)
36. B.A. Malomed, H.G. Winful, Phys. Rev. E 53, 5365 (1996)
37. J. Atai, B.A. Malomed, Phys. Rev. E 54, 4371 (1996)
38. B.A. Malomed, Chaos 17, 037117 (2007)
39. J. Atai, B.A. Malomed, Phys. Lett. A 246, 412 (1998)
40. A.M. Sergeev, V.I. Petviashvili, Dokl. AN SSSR 276, 1380 (1984)
41. [Sov. Phys. Doklady 29, 493 (1984)]
42. V.L. Kalashnikov, E. Podivilov, A. Chernykh, S. Naumov, A. Fernandez, R. Graf, A. Apolonski, New J. Phys. 7, 217 (2005)
43. B.A. Malomed, Physica D 29, 155 (1987)
44. O. Thual, S. Fauve, J. Phys. (Paris) 49, 1829 (1988)
45. W. van Saarloos, P.C. Hohenberg, Phys. Rev. Lett. 64, 749 (1990)
46. V. Hakim, P. Jakobsen, Y. Pomeau, Europhys. Lett. 11, 19 (1990)
47. B.A. Malomed, A.A. Nepomnyashchy, Phys. Rev. A 42, 6009 (1990)
48. P. Marcq, H. Chaté, R. Conte, Physica D 73, 305 (1994)
49. N. Akhmediev, V.V. Afanasjev, Phys. Rev. Lett. 75, 2320 (1995)
50. M. Tlidi, P. Mandel, R. Lefever, Phys. Rev. Lett. 73, 640 (1994)
51. H. Sakaguchi, H.R. Brand, Physica D 117, 95 (1998)
52. C.-K. Lam, B.A. Malomed, K.W. Chow, P.K.A. Wai, Eur. Phys. J. Special Topics 173, 217 (2009)
53. W.C.K. Mak, B.A. Malomed, P.L. Chu, Phys. Rev. E 67, 026608 (2003)
54. F. Pedaci, G. Tissoni, S. Barland, M. Giudici, J. Tredicce, Appl. Phys. Lett. 93, 111104 (2008)
55. E. Caboche, F. Pedaci, P. Genevet, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, L.A. Lugiato, Phys. Rev. Lett. 102, 163901 (2009)
56. B.A. Malomed, M.Ya. Azbel, Phys. Rev. B 47, 10402 (1993)
57. A. Sigler, B.A. Malomed, Physica D 212, 305 (2005)
58. A. Sigler, B.A. Malomed, D.V. Skryabin, Phys. Rev. E 74, 066604 (2006)
59. T. Mayteevarunyoo, B.A. Malomed, G. Dong, Phys. Rev. A 78, 053601 (2008)
60. G. Iooss, D.D. Joseph, Elementary Stability and Bifurcation Theory (Springer, New York, 1980)