Multistable dissipative structures pinned to dual hot spots

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 84, Issue 6, 2011, Pages

  Tsang, Cheng Hou ^a   Malomed, Boris A ^b,c   Chow, Kwok Wing ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b TEL AVIV UNIVERSITY   (Israel)

^c ICFO INSTITUT DE CIENCIES FOTONIQUES   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL AND NUMERICAL SOLUTIONS; ANTI-SYMMETRIC; ANTISYMMETRIC MODE; BOSE-EINSTEIN CONDENSATES; CUBIC NONLINEARITIES; DEFOCUSING; DISSIPATIVE MEDIUM; DISSIPATIVE STRUCTURE; EXACT SOLUTION; FUNDAMENTAL MODES; HIGHER ORDER; HOST MEDIUMS; HOT SPOT; LINEAR GAIN; LINEAR POTENTIAL; LOCALIZED MODES; LOCALIZED PATTERNS; MULTISTABILITY; MULTISTABLE; NON-LINEARITY; QUASIPARTICLES; SELF-DEFOCUSING; SELF-FOCUSING; SELF-INTERACTIONS; STABILITY REGIONS;

STATISTICAL MECHANICS; STEAM CONDENSERS;

HYDRAULIC STRUCTURES;

EID: 84855297333     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.066609     Document Type: Article

References (67)

1. F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Phys. Rep. 0370-1573 10.1016/j.physrep.2008.04.004 436, 1 (2008).
2. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, in Progress in Optics (Elsevier, Amsterdam, 2009), Vol. 52, p. 63.
3. Y. V. Kartashov, B. A. Malomed, and L. Torner, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.247 83, 247 (2011).
4. S. Maneuf and F. Reynaud, Opt. Commun. 65, 325 (1988);
5. J. S. Aitchison, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel, and P. W. E. Smith, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.15.000471 15, 471 (1990).
6. R. Schiek, Y. Baek, and G. I. Stegeman, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.53.1138 53, 1138 (1996).
7. M. Segev, B. Crosignani, A. Yariv, and B. Fischer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.923 68, 923 (1992);
8. G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.533 71, 533 (1993);
9. M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3211 73, 3211 (1994);
10. D. N. Christodoulides and M. I. Carvalho, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.12.001628 12, 1628 (1995).
11. G. Assanto and M. Peccianti, IEEE J. Quantum Electron. IEJQA7 0018-9197 10.1109/JQE.2002.806185 39, 13 (2003);
12. C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.113902 92, 113902 (2004);
13. W. Królikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B JOBOFD 1464-4266 10.1088/1464-4266/6/ 5/017 6, S288 (2004).
14. L. A. Lugiato, Chaos Solitons Fractals CSFOEH 0960-0779 10.1016/0960-0779(94)90080-9 4, 1251 (1994);
15. W. J. Firth and A. J. Scroggie, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1623 76, 1623 (1996);
16. L. Spinelli, G. Tissoni, M. Brambilla, F. Prati, and L. A. Lugiato, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.2542 58, 2542 (1998);
17. A. M. Dunlop, E. M. Wright, and W. J. Firth, Opt. Commun. OPCOB8 0030-4018 10.1016/S0030-4018(97)00579-8 147, 393 (1998);
18. D. Michaelis, U. Peschel, and F. Lederer, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.23.000337 23, 337 (1998);
19. M. Tlidi and P. Mandel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.R2575 59, R2575 (1999);
20. G. L. Oppo, A. J. Scroggie, and W. J. Firth, J. Opt. B JOBOFD 1464-4266 10.1088/1464-4266/1/1/024 1, 133 (1999);
21. R. Vilaseca, M. C. Torrent, J. Garcia-Ojalvo, M. Brambilla, and M. San Miguel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.083902 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, and R. Jager, Nature (London) 0028-0836 10.1038/nature01049 419, 699 (2002); (Pubitemid 35177950)
23. D. V. Skryabin and A. G. Vladimirov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.044101 89, 044101 (2002);
24. K. Staliunas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 053901 91, 053901 (2003);
25. B. Terhalle, N. Radwell, P. Rose, C. Denz, and T. Ackemann, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2996257 93, 151114 (2008).
26. N. N. Rosanov, Spatial Hysteresis and Optical Patterns (Springer, Berlin, 2002);
27. Dissipative solitons, Lecture Notes in Phys. No. 661, edited by N. Akhmediev and A. Ankiewicz (Springer, New York, 2005).
28. J. Atai and B. A. Malomed, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(98)00505-2 246, 412 (1998);
29. H. Sakaguchi and B. A. Malomed, Physica D 0167-2789 10.1016/S0167- 2789(00)00176-7 147, 273 (2000).
30. B. A. Malomed and H. G. Winful, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.53.5365 53, 5365 (1996);
31. J. Atai and B. A. Malomed, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.54.4371 54, 4371 (1996);
32. B. A. Malomed, Chaos CHAOEH 1054-1500 10.1063/1.2771078 17, 037117 (2007).
33. W. J. Firth and P. V. Paulau, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2010-00116-6 59, 13 (2010);
34. P. V. Paulau, D. Gomila, P. Colet, N. A. Loiko, N. N. Rosanov, T. Ackemann, and W. J. Firth, Opt. Exp. 10.1364/OE.18.008859 18, 8859 (2010).
35. See the Appendix in B. A. Malomed, Physica D 0167-2789 10.1016/0167-2789(87)90052-2 29, 155 (1987).
36. O. Thual and S. Fauve, J. Phys. (Paris) 0368-3842 10.1051/jphys: 0198800490110182900 49, 1829 (1988);
37. W. van Saarloos and P. C. Hohenberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.749 64, 749 (1990);
38. V. Hakim, P. Jakobsen, and Y. Pomeau, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/11/1/004 11, 19 (1990);
39. B. A. Malomed and A. A. Nepomnyashchy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.6009 42, 6009 (1990);
40. P. Marcq, H. Chaté, and R. Conte, Physica D 0167-2789 10.1016/0167-2789(94)90102-3 73, 305 (1994);
41. N. Akhmediev and V. V. Afanasjev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.2320 75, 2320 (1995).
42. C.-K. Lam, B. A. Malomed, K. W. Chow, and P. K. A. Wai, Eur. Phys. J.: Special Topics 1951-6355 10.1140/epjst/e2009-01076-8 173, 233 (2009).
43. C. H. Tsang, B. A. Malomed, C.-K. Lam, and K. W. Chow, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2010-00073-0 59, 81 (2010).
44. L. M. Hocking and K. Stewartson, Proc. R. Soc. London Ser. A 1364-5021 10.1098/rspa.1972.0010 326, 289 (1972);
45. N. R. Pereira and L. Stenflo, Phys. Fluids PHFLE6 1070-6631 10.1063/1.861773 20, 1733 (1977).
46. D. A. Zezyulin, G. L. Alfimov, and V. V. Konotop, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.013606 81, 013606 (2010).
47. F. Kh. Abdullaev, V. V. Konotop, M. Salerno, and A. V. Yulin, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.056606 82, 056606 (2010).
48. D. A. Zezyulin, V. V. Konotop, and G. L. Alfimov, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.056213 82, 056213 (2010).
49. D. A. Zezyulin, Y. V. Kartashov, and V. V. Konotop, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.36.001200 36, 1200 (2011).
50. Y. V. Kartashov, V. V. Konotop, and V. A. Vysloukh, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.041806 83, 041806 (R) (2011).
51. Y. V. Kartashov, V. V. Konotop, and V. A. Vysloukh, EPL 10.1209/0295-5075/91/34003 91, 340003 (2010).
52. V. E. Lobanov, Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.36.000085 36, 85 (2011);
53. O. V. Borovkova, V. E. Lobanov, Y. V. Kartashov, and Torner, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.36.001936 36, 1936 (2011);
54. O. V. Borovkova, Y. V. Kartashov, V. E. Lobanov, V. A. Vysloukh, and L. Torner, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.36.003783 36, 3783 (2011).
55. V. A. Brazhnyi, V. V. Konotop, V. M. Pérez-García, and H. Ott, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.144101 102, 144101 (2009);
56. Yu. V. Bludov and V. V. Konotop, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.013625 81, 013625 (2010).
57. W. C. K. Mak, B. A. Malomed, and P. L. Chu, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.026608 67, 026608 (2003).
58. F. Pedaci, G. Tissoni, S. Barland, M. Giudici, and J. Tredicce, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2977603 93, 111104 (2008);
59. E. Caboche, F. Pedaci, P. Genevet, S. Barland, M. Giudici, J. Tredicce, G. Tissoni, and L. A. Lugiato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.163901 102, 163901 (2009).
60. V. A. Brazhnyi, V. V. Konotop, and M. Taki, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.34.003388 34, 3388 (2009).
61. B. A. Malomed, O. Dzyapko, V. E. Demidov, and S. O. Demokritov, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.024418 81, 024418 (2010).
62. B. A. Malomed and M. Ya. Azbel, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.47.10402 47, 10402 (1993).
63. N. Dror and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.033828 83, 033828 (2011).
64. T. Mayteevarunyoo, B. A. Malomed, and G. Dong, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.053601 78, 053601 (2008);
65. E. Bulgakov, K. Pichugin, and A. Sadreev, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.83.045109 83, 045109 (2011);
66. V. A. Brazhnyi and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.053844 83, 053844 (2011).
67. T. Mayteevarunyoo and B. A. Malomed, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340.2011.601329 58, 1977 (2011).