Topological dissipative nonlinear modes in twoand three-dimensional ginzburg-landau models with trapping potentials

Romanian Reports in Physics

Volumn 63, Issue 1, 2011, Pages 9-24

  Mihalache, D ^a,b  

^a HORIA HULUBEI NATIONAL INSTITUTE OF PHYSICS AND NUCLEAR ENGINEERING   (Romania)

^b NONE   (Romania)

Author keywords

Dissipative solitons; Ginzburg landau equation; Vortex solitons

Indexed keywords

EID: 79953847762     PISSN: 12211451     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (99)

1. Y. Silberberg, Opt. Lett., 15, 1282 (1990).
2. B. A. Malomed et al., J. Opt. B: Quantum Semiclassical Opt., 7, R53 (2005).
3. Y. S. Kivshar, G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).
4. S. Suntsov et al., J. Nonl. Opt. Phys. & Mat., 16, 401 (2007).
5. F. Lederer et al., Phys. Rep., 463, 1 (2008).
6. Y. S. Kivshar, Laser Phys. Lett., 5, 703 (2008).
7. Y. V. Kartashov et al., Eur. Phys. J. Special Topics, 173, 87 (2009); Prog. Opt., 52, 63 (2009).
8. Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, L. Torner, Opt. Lett., 34, 3625 (2009); Opt. Lett., 34, 770 (2009)
9. L. Bergé, Phys. Rep., 303, 260 (1998).
10. V. V. Konotop, P. Pacciani, Phys. Rev. Lett., 94, 240405 (2005).
11. L.-C. Crasovan et al., Phys. Rev. Lett. 91, 063904 (2003).
12. D. Mihalache, D. Mazilu, Rom. Rep. Phys., 60, 957 (2008); 61, 175 (2009); 61, 235 (2009); 61, 587 (2009).
13. D. Mihalache, Rom. Rep. Phys., 62, 99 (2010).
14. D. Mihalache et al., Opt. Commun., 282, 3000 (2009).
15. D. Mihalache, J. Optoelectron. Adv. Mat., 12, 12 (2010).
16. H. Leblond et al., J. Optoelectron. Adv. Mat., 12, 6 (2010).
17. D. Mihalache et al., Eur. Phys. J. Special Topics, 173, 245, 255, 267 (2009).
18. V. K. Fedyanin, D. Mihalache, Z. Phys. B, 47, 167 (1982).
19. D. Mihalache et al., Physica Scripta, 29, 269 (1984).
20. D. Mihalache et al., Physica Scripta, 30, 335 (1984).
21. F. Lederer, D. Mihalache, Solid State Commun., 59, 151 (1986).
22. D. Mihalache et al., Opt. Commun., 59, 391 (1986).
23. D. Mihalache et al., Opt. Lett., 12, 187 (1987).
24. D. Mihalache, M. Bertolotti, C. Sibilia, Prog. Opt., 27, 229 (1989).
25. F. Lederer et al., Opt. Commun., 99, 95 (1993).
26. A. B. Blagoeva et al., IEEE J. Quantum Electron., 27, 2060 (1991).
27. D. Edmundson, R. H. Enns, Opt. Lett., 17, 586 (1992).
28. N. Akhmediev, J. M. Soto-Crespo, Phys. Rev. A, 47, 1358 (1993).
29. A. B. Aceves et al., Opt. Lett., 19, 329 (1994).
30. R. McLeod, K. Wagner, S. Blair, Phys. Rev. A, 52, 3254 (1995).
31. L. Torner et al., Phys. Rev. Lett., 77, 2456 (1996).
32. D. Mihalache et al., Opt. Eng., 35, 1616 (1996).
33. B. A. Malomed et al., Phys. Rev. E, 56, 4725 (1997).
34. D. Mihalache et al., Opt. Commun., 137, 113 (1997); Phys. Rev. Lett., 81, 4353 (1998); Opt. Commun., 159, 129 (1999); Phys. Rev. E, 62, 7340 (2000).
35. D. V. Skryabin, W. J. Firth, Opt. Commun., 148, 79 (1998).
36. I. V. Mel'nikov et al., Opt. Commun., 181, 345 (2000).
37. L. Torner et al., Opt. Commun., 199, 277 (2001);
38. L. Torner, Y. V. Kartashov, Opt. Lett., 34, 1129 (2009).
39. D. Mihalache et al., Phys. Rev. Lett., 88, 073902 (2002); Phys. Rev. E, 66, 016613 (2002).
40. H. Michinel, M. J. Paz-Alonso, V. M. Perez-Garcia, Phys. Rev. Lett., 96, 023903 (2006).
41. D. Mihalache et al., Phys. Rev. E, 61, 7142 (2000).
42. A. Desyatnikov, A. Maimistov, B. Malomed, Phys. Rev. E, 61, 3107 (2000).
43. Y. J. He et al., Phys. Rev. E, 74, 016611 (2006).
44. Y. J. He, B. A. Malomed, H. Z. Wang, Opt. Express, 15, 17502 (2007).
45. Y. J. He et al., Phys. Rev. A, 77, 043826 (2008).
46. D. Mihalache et al., Phys. Rev. Lett., 95, 023902 (2005).
47. D. Mihalache et al., Opt. Express, 15, 589 (2007); Opt. Lett., 32, 2091, 3173 (2007); Opt. Express, 15, 10718 (2007).
48. H. Leblond et al., Phys. Rev. A, 80, 053812 (2009); Phys. Rev. A, 81, 033824 (2010); Phys. Rev. A, 81, 063815 (2010).
49. H. C. Gurgov, O. Cohen, Opt. Express, 17, 7052 (2009).
50. I. B. Burgess et al., Phys. Rev. Lett., 102, 203903 (2009).
51. F. Ye et al., Opt. Express, 17, 11328 (2009).
52. A. S. Desyatnikov, Y. S. Kivshar, Phys. Rev. Lett., 88, 053901 (2002).
53. Y. V. Kartashov et al., Phys. Rev. Lett., 89, 273902 (2002).
54. L.-C. Crasovan et al., Phys. Rev. E, 67, 046610 (2003).
55. D. Mihalache et al., Phys. Rev. E, 68, 046612 (2003); J. Opt. B: Quantum Semiclassical Opt., 6, S333 (2004).
56. I. S. Aranson, L. Kramer, Rev. Mod. Phys., 74, 99 (2002).
57. P. Mandel, M. Tlidi, J. Opt. B: Quantum Semiclass. Opt., 6, R60 (2004).
58. B. A. Malomed, in Encyclopedia of Nonlinear Science, edited by A. Scott, Routledge, New York, 2005, p. 157.
59. N. N. Rosanov, Spatial Hysteresis and Optical Patterns Springer, Berlin, 2002.
60. N. Akhmediev and A. Ankiewicz (Eds.), Dissipative Solitons: From Optics to Biology and Medicine, Lect. Notes Phys., 751, Springer, Berlin, 2008.
61. S. Barland et al., Nature (London), 419, 699 (2002).
62. Z. Bakonyi et al., J. Opt. Soc. Am. B, 19, 487 (2002).
63. E. A. Ultanir et al., Phys. Rev. Lett., 90, 253903 (2003).
64. N. N. Rosanov et al., Appl. Phys. B, 81, 937 (2005).
65. C. O. Weiss, Ye. Larionova, Rep. Prog. Phys., 70, 255 (2007).
66. N. Veretenov, M. Tlidi, Phys. Rev. A, 80, 023822 (2009).
67. P. Genevet et al., Phys. Rev. Lett., 104, 223902 (2010).
68. H. G. Purwins et al., Adv. Phys., 59, 485 (2010).
69. Y.J. He, J. Opt. Soc. Am. B, 27, 2174 (2010).
70. B. A. Malomed, Physica D, 29, 155 (1987).
71. O. Thual, S. Fauve, J. Phys. (Paris), 49, 1829 (1988).
72. S. Fauve, O. Thual, Phys. Rev. Lett., 64, 282 (1990).
73. W. van Saarloos, P. C. Hohenberg, Phys. Rev. Lett., 64, 749 (1990).
74. V. Hakim et al., Europhys. Lett., 11, 19 (1990).
75. B. A. Malomed, A. A. Nepomnyashchy, Phys. Rev. A, 42, 6009 (1990).
76. P. Marcq et al., Physica D, 73, 305 (1994).
77. N. Akhmediev, V. V. Afanasjev, Phys. Rev. Lett., 75, 2320 (1995).
78. H. R. Brand, R. J. Deissler, Phys. Rev. Lett., 63, 2801 (1989).
79. V. V. Afanasjev et al., Phys. Rev. E, 53, 1931 (1996).
80. J. M. Soto-Crespo et al., Phys. Rev. Lett., 85, 2937 (2000).
81. H. Leblond et al., J. Opt. A, 8, 319 (2006).
82. W. H. Renninger et al., Phys. Rev. A, 77, 023814 (2008).
83. J. M. Soto-Crespo et al., Opt. Express, 17, 4236 (2009).
84. W. H. Renninger et al., J. Opt. Soc. Am. B, 27, 1978 (2010).
85. Y. J. He, J. Opt. Soc. Am. B, 27, 1266 (2010).
86. D. Mihalache, Rom. Rep. Phys., 62, 697 (2010).
87. V. I. Petviashvili, A. M. Sergeev, Dokl. Akad. Nauk SSSR, 276, 1380 (1984); Sov. Phys. Doklady, 29, 493 (1984).
88. L.-C. Crasovan et al., Phys. Rev. E, 63, 016605 (2001).
89. L.-C. Crasovan et al., Phys. Lett. A, 289, 59 (2001).
90. V. Skarka, N. B. Aleksic, Phys. Rev. Lett., 96, 013903 (2006).
91. N. B. Aleksić et al., Phys. Rev. A, 75, 061802 (2007).
92. V. Skarka et al., J. Opt. A, 10, 075102 (2008).
93. D. Mihalache et al., Phys. Rev. Lett., 97, 073904 (2006); Phys. Rev. A, 76, 045803 (2007); Phys. Rev. A, 75, 033811 (2007).
94. Y. V. Kartashov, V. V. Konotop, V. A. Vysloukh, EPL, 91, 34003 (2010).
95. Y. V. Kartashov, V. V. Konotop, V. A. Vysloukh, L. Torner, Opt. Lett., 35, 3177 (2010).
96. H. Leblond et al., Phys. Rev. A, 80, 033835 (2009).
97. D. Mihalache et al., Phys. Rev. A, 81, 025801 (2010).
98. D. Mihalache, Proc. Romanian Acad., Series A, 11, 142 (2010).
99. D. Mihalache et al., Phys. Rev. A, 82, 023813 (2010).