Stable spatiotemporal dissipative soliton clusters in the complex Ginzburg-Landau equation

Journal of Modern Optics

Volumn 56, Issue 17, 2009, Pages 1824-1828

  Zhu, Wei Ling ^a   Luo, Li ^b   Yan, Jun Hu ^c   He, Ying Ji ^c  

^a MAOMING UNIVERSITY   (China)

^b GUANGDONG UNIVERSITY OF TECHNOLOGY   (China)

^c GUANGDONG POLYTECHNIC NORMAL UNIVERSITY   (China)

Author keywords

Ginzburg Landau equation; Solitons cluster; Spatiotemporal soliton

Indexed keywords

COMPLEX GINZBURG-LANDAU EQUATION; CRITICAL VALUE; DISSIPATIVE SOLITONS; FRICTION FORCE; GINZBURG-LANDAU EQUATION; GINZBURG-LANDAU EQUATIONS; IN-PHASE; MOMENTUM BALANCES; QUINTIC; SPATIOTEMPORAL SOLITONS; TOPOLOGICAL CHARGES;

LASER PULSES; TOPOLOGY;

SOLITONS;

EID: 74549169050     PISSN: 09500340     EISSN: 13623044     Source Type: Journal    
DOI: 10.1080/09500340903359970     Document Type: Article

References (39)

1. Stegeman, G.I.; Segev, M. Science 1999, 286, 1518-1523.
2. Soljačić, M.; Sears, S.; Segev, M. Phys. Rev. Lett. 1998, 81, 4851-4854.
3. Desyatnikov, A.S.; Kivshar, Y.S. Phys. Rev. Lett. 2001, 87, 033901.
4. Kartashov, Y.V.; Crasovan, L.C.; Mihalache, D.; Torner, L. Phys. Rev. Lett. 2002, 89, 273902.
5. Alfimov, G.L.; Eleonsky, V.M.; Kulagin, N.E.; Lehrmann, L.M.; Silin, V.P. Phys. Lett. A 1989, 138, 443-146.
6. Mihalache, D.; Mazilu, D.; Crasovan, L.-C.; Malomed, B.A.; Lederer, F.; Torner, L. Phys. Rev. E 2003, 68, 046612.
7. Desyatnikov, A.S.; Kivshar, Y.S. Phys. Rev. Lett. 2002, 88 053901.
8. Firth, W.J.; Skryabin, D.V. Phys. Rev. Lett. 1997, 79, 2450.
9. Torner, L.; Petrov, D.V. Electron. Lett. 1997, 33, 607-608.
10. Musslimani, Z.H.; Soljačić, M.; Segev, M.; Christodoulides, D.N. Phys. Rev. E 2001, 63, 066608.
11. Mihalache, D.; Mazilu, D.; Towers, I.; Malomed, B.A.; Lederer, F. J. Opt. A: Pure Appl. Opt. 2002, 4, 615-620.
12. Mihalache, D.; Mazilu, D.; Crasovan, L.C.; Towers, I.; Buryak, A.V.; Malomed, B.A.; Torner, L.; Torres, J.P.; Lederer, F. Phys. Rev. Lett. 2002, 88, 073902.
13. Mihalache, D.; Mazilu, D.; Crasovan, L.C.; Towers, I.; Malomed, B.A.; Buryak, A.V.; Torner, L.; Lederer, F. Phys. Rev. E 2002, 66, 016613.
14. Ruostekoski, J.; Anglin, J.R. Phys. Rev. Lett. 2001, 86, 3934.
15. Battye, R.A.; Cooper, N.R.; Sutcliffe, P.M. Phys. Rev. Lett. 2002, 88, 080401.
16. Crasovan, L.-C.; Molina-Terriza, G.; Torres, J.P.; Torner, L.; Perez-Garcia, V.M.; Mihalache, D. Phys. Rev. E 2002, 66, 036612.
17. Crasovan, L.-C.; Vekslerchik, V.; Perez-Garcia, V.M.; Torres, J.P.; Mihalache, D.; Torner, L. Phys. Rev. A 2003, 68, 063609.
18. Crasovan, L.-C.; Perez-Garcia, V.M.; Danaila, I.; Mihalache, D.; Torner, L. Phys. Rev. A 2004, 70, 033605.
19. Kivshar, Y.S.; Agrawal, G.P. Optical Solitons: From Fibers to Photonic Crystals; Academic: San Diego, 2003.
20. Akhmediev, N.N.; Ankiewicz, A. Solitons: Nonlinear Pulses and Beams; Chapman and Hall: London, 1997.
21. Silberberg, Y. Opt. Lett. 1990, 15, 1282-1284.
22. Crasovan, L.C.; Kartashov, Y.V.; Mihalache, D.; Torner, L.; Kivshar, Y.S.; Perez-Garcia, V.M. Phys. Rev. E 2003, 67, 046610.
23. Q Mihalache, D.; Mazilu, D.; Crasovan, L.C.; Malomed, B.A.; Lederer, F.; Torner, L. J. Opt. B: Quantum Semiclass. Opt. 2004, 6, S333-S340.
24. Aranson, I.S.; Kramer, L. Rev. Mod. Phys. 2002, 74, 99-143.
25. Manneville, P. Dissipative Structures and Weak Turbulence; Academic: San Diego, 1990.
26. He, Y.J.; Malomed, B.A.; Wang, H.Z. Opt. Express 2007, 15, 17502-17508.
27. Skryabin, D.V.; Vladimirov, A.G. Phys. Rev. Lett. 2003, 89, 044101.
28. Grelu, P.; Soto-Crespo, J.M.; Akhmediev, N. Opt. Express 2005, 13, 9352-9630.
29. He, Y.J.; Fan, H.H.; Dong, J.W.; Wang, H.Z. Phys. Rev. E 2006, 74, 016611.
30. Soto-Crespo, J.M.; Akhmediev, N.; Grelu, P. Phys. Rev. E 2006, 74, 046612.
31. Mihalache, D.; Mazilu, D.; Lederer, F.; Kartashov, Y.V.; Crasovan, L.-C.; Torner, L; Malomed, B.A. Phys. Rev. Lett. 2006, 97, 073904.
32. Mihalache, D.; Mazilu, D.; Lederer, F.; Leblond, H.; Malomed, B.A. Phys. Rev. A 2007, 75, 033811.
33. Mihalache, D.; Mazilu, D.; Lederer, F.; Leblond, H.; Malomed, B.A. Phys. Rev. A 2007, 76, 045803.
34. Mihalache, D.; Mazilu, D. Roman. Rep. Phys. 2008, 60, 749-761.
35. Kamagate, A.; Grelu, Ph.; Tchofo-Dinda, P.; Soto-Crespo, J.M.; Akhmediev, N. Phys. Rev. E 2009, 79, 026609.
36. Malomed, B.A. Phys. Rev. E 1998, 58, 7928-7933.
37. Desyatnikov, A.S.; Kivshar, Y.S. Phys. Rev. Lett. 2002, 88, 053901.
38. Akhmediev, N.N.; Ankiewicz, A.; Soto-Crespo, J.M. J. Opt. Soc. Am. B 1998, 15, 515-523.
39. Theocharis, G.; Frantzeskakis, D.J.; Kevrekidis, P.G.; Malomed, B.A.; Kivshar, Y.S. Phys. Rev. Lett. 2003, 90, 120403.