Robust soliton clusters in media with competing cubic and quintic nonlinearities

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

Volumn 68, Issue 4 2, 2003, Pages 466121-466128

  Mihalache, D ^a,b,c   Mazilu, D ^b,c   Crasovan, L C ^a   Malomed, B A ^d   Lederer, F ^c   Torner, L ^a  

^a ICFO INSTITUT DE CIENCIES FOTONIQUES   (Spain)

^b INSTITUTE OF ATOMIC PHYSICS   (Romania)

^c FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^d TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; CONTROL NONLINEARITIES; FOCUSING; GAUSSIAN NOISE (ELECTRONIC); HAMILTONIANS; LIGHT PROPAGATION; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; NONLINEAR SYSTEMS; OSCILLATIONS; PROBABILITY DISTRIBUTIONS; ROBUSTNESS (CONTROL SYSTEMS); SOLITONS; SYSTEM STABILITY; VORTEX FLOW;

ANGULAR MOMENTUM; AZIMUTHAL STABILITY; OPTICAL TRAPS;

NONLINEAR OPTICS;

EID: 0346934918     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (75)

1. Yu. S. Kivshar and G.P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).
2. G.I. Stegeman, D.N. Christodoulides, and M. Segev, IEEE J. Sel. Top. Quantum Electron. 6, 1419 (2000).
3. N.N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman and Hall, London, 1997).
4. Y. Silberberg, Opt. Lett. 15, 1282 (1990).
5. X. Liu, L.J. Qian, and F.W. Wise, Phys. Rev. Lett. 82, 4631 (1999); X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. E 62, 1328 (2000).
6. X. Liu, L.J. Qian, and F.W. Wise, Phys. Rev. Lett. 82, 4631 (1999); X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. E 62, 1328 (2000).
7. M. Soljačić, S. Sears, and M. Segev, Phys. Rev. Lett. 81, 4851 (1998); M. Soljačić and M. Segev, Phys. Rev. E 62, 2810 (2000); Phys. Rev. Lett. 86, 420 (2001).
8. M. Soljačić, S. Sears, and M. Segev, Phys. Rev. Lett. 81, 4851 (1998); M. Soljačić and M. Segev, Phys. Rev. E 62, 2810 (2000); Phys. Rev. Lett. 86, 420 (2001).
9. M. Soljačić, S. Sears, and M. Segev, Phys. Rev. Lett. 81, 4851 (1998); M. Soljačić and M. Segev, Phys. Rev. E 62, 2810 (2000); Phys. Rev. Lett. 86, 420 (2001).
10. A.S. Desyatnikov and Yu.S. Kivshar, Phys. Rev. Lett. 87, 033901 (2001).
11. G.L. Alfimov, V.M. Eleonsky, N.E. Kulagin, L.M. Lehrmann, and V.P. Silin, Phys. Lett. A 138, 443 (1989).
12. D.V. Skryabin, J.M. McSloy, and W.J. Firth, Phys. Rev. E 66, 055602(R) (2002).
13. A.S. Desyatnikov and Yu.S. Kivshar, Phys. Rev. Lett. 88, 053901 (2002); J. Opt. B: Quantum Semiclassical Opt. 4, S58 (2002).
14. A.S. Desyatnikov and Yu.S. Kivshar, Phys. Rev. Lett. 88, 053901 (2002); J. Opt. B: Quantum Semiclassical Opt. 4, S58 (2002).
15. D. Rozas, C.T. Law, and G.A. Schwartzlander, J. Opt. Soc. Am. B 14, 3054 (1997).
16. W.J. Firth and D.V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997); D.V. Skryabin and W.J. Firth, Phys. Rev. E 58, 3916 (1998).
17. W.J. Firth and D.V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997); D.V. Skryabin and W.J. Firth, Phys. Rev. E 58, 3916 (1998).
18. L. Torner and D.V. Petrov, Electron. Lett. 33, 608 (1997); J.P. Torres, J.M. Soto-Crespo, L. Torner, and D.V. Petrov, J. Opt. Soc. Am. B 15, 625 (1998).
19. L. Torner and D.V. Petrov, Electron. Lett. 33, 608 (1997); J.P. Torres, J.M. Soto-Crespo, L. Torner, and D.V. Petrov, J. Opt. Soc. Am. B 15, 625 (1998).
20. P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, Phys. Rev. Lett. 84, 3843 (2000).
21. Z.H. Musslimani, M. Soljačić, M. Segev, and D.N. Christodoulides, Phys. Rev. E 63, 066608 (2001).
22. D. Mihalache, D. Mazilu, I. Towers, B.A. Malomed, and F. Lederer, J. Opt. A: Pure Appl. Opt. 4, 615 (2002).
23. D. Mihalache, D. Mazilu, L.-C. Crasovan, B.A. Malomed, and F. Lederer, Phys. Rev. E 62, R1505 (2000).
24. D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A.V. Buryak, B.A. Malomed, L. Torner, J.P. Torres, and F. Lederer, Phys. Rev. Lett. 88, 073902 (2002); D. Mihalache, D. Mazilu, I. Towers, B.A. Malomed, and F. Lederer, Phys. Rev. E 67, 056608 (2003).
25. D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A.V. Buryak, B.A. Malomed, L. Torner, J.P. Torres, and F. Lederer, Phys. Rev. Lett. 88, 073902 (2002); D. Mihalache, D. Mazilu, I. Towers, B.A. Malomed, and F. Lederer, Phys. Rev. E 67, 056608 (2003).
26. D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, B.A. Malomed, A.V. Buryak, L. Torner, and F. Lederer, Phys. Rev. E 66, 016613 (2002).
27. A.G. Vladimirov, J.M. McSloy, D.V. Skryabin, and W.J. Firth, Phys. Rev. E 65, 046606 (2002); D.V. Skryabin and A.G. Vladimirov, Phys. Rev. Lett. 89, 044101 (2002).
28. A.G. Vladimirov, J.M. McSloy, D.V. Skryabin, and W.J. Firth, Phys. Rev. E 65, 046606 (2002); D.V. Skryabin and A.G. Vladimirov, Phys. Rev. Lett. 89, 044101 (2002).
29. J. Ruostekoski and J.R. Anglin, Phys. Rev. Lett. 86, 3934 (2001); R.A. Battye and P.M. Sutcliffe, ibid. 86, 3989 (2001).
30. J. Ruostekoski and J.R. Anglin, Phys. Rev. Lett. 86, 3934 (2001); R.A. Battye and P.M. Sutcliffe, ibid. 86, 3989 (2001).
31. R.A. Battye, N.R. Cooper, and P.M. Sutcliffe, Phys. Rev. Lett. 88, 080401 (2002).
32. J.R. Anglin and W. Ketterle, Nature (London) 416, 211 (2002).
33. J.E. Williams and M.J. Holland, Nature (London) 401, 568 (1999).
34. M.R. Matthews, B.P. Anderson, P.C. Haljan, D.S. Hall, C.E. Wieman, and E.A. Cornell, Phys. Rev. Lett. 83, 2498 (1999).
35. K.W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
36. J.R. Abo-Shaeer, C. Raman, J.M. Vogels, and W. Ketterle, Science 292, 476 (2001).
37. K.E. Strecker, G.W. Partridge, A.G. Truscott, and R.G. Hulet, Nature (London) 417, 150 (2002); L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L.D. Carr, Y. Castin, and C. Salomon, Science 296, 1290 (2002).
38. K.E. Strecker, G.W. Partridge, A.G. Truscott, and R.G. Hulet, Nature (London) 417, 150 (2002); L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L.D. Carr, Y. Castin, and C. Salomon, Science 296, 1290 (2002).
39. H. Saito and M. Ueda, Phys. Rev. Lett. 90, 040403 (2003).
40. F.Kh. Abdullaev, J.G. Caputo, R.A. Kraenkel, and B.A. Malomed, Phys. Rev. A 67, 013605 (2003).
41. P.D. Drummond, Mod. Phys. Lett. B 14, 189 (2000).
42. L.-C. Crasovan, G. Molina-Terriza, J.P. Torres, L. Torner, V.M. Pérez-García, and D. Mihalache, Phys. Rev. E 66, 036612 (2002).
43. G. Theocharis, D.J. Frantzeskakis, P.G. Kevrekidis, B.A. Malomed, and Yu.S. Kivshar, Phys. Rev. Lett. 90, 120403 (2003).
44. L.-C. Crasovan, Y.V. Kartashov, D. Mihalache, L. Tomer, Y.S. Kivshar, and V.M. Pérez-García, Phys. Rev. E 67, 046610 (2003).
45. V.M. Pérez-Garća and V. Vekslerchik, Phys. Rev. E 67, 061804 (2003).
46. P.S. Julienne, K. Burnett, Y.B. Band, and W.C. Stwalley, Phys. Rev. A 58, R797 (1998).
47. D.J. Heinzen, R. Wynar, P.D. Drummond, and K.V. Kheruntsyan, Phys. Rev. Lett. 84, 5029 (2000).
48. J. Javanainen and M. Mackie, Phys. Rev. A 59, R3186 (1998).
49. L.-M. Duan, A. Sorensen, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 85, 3991 (2000).
50. B.J. Cusack, T.J. Alexander, E.A. Ostrovskaya, and Yu.S. Kivshar, Phys. Rev. A 65, 013609 (2001).
51. S.J.J.M.F. Kokkelmans and M.J. Holland, Phys. Rev. Lett. 89, 180401 (2002).
52. R. Wynar, R.S. Freeland, D.J. Han, C. Ryu, and D.J. Heinzen, Science 287, 1016 (2000).
53. E.A. Donley, N.R. Claussen, S.T. Thompson, and C.E. Wieman, Nature (London) 417, 529 (2002).
54. L. Torner, J.P. Torres, D.V. Petrov, and J.M. Soto-Crespo, Opt. Quantum Electron. 30, 89 (1998).
55. D.V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J.P. Torres, and C. Cojocaru, Opt. Lett. 23, 1444 (1998).
56. S. Minardi, G. Molina-Terriza, P. Di Trapani, J.P. Torres, and L. Torner, Opt. Lett. 26, 1004 (2001).
57. Y.V. Kartashov, G. Molina-Terriza, and L. Tomer, J. Opt. Soc. Am. B 19, 2682 (2002).
58. Y.V. Kartashov, L.-C. Crasovan, D. Mihalache, and L. Torner, Phys. Rev. Lett. 89, 273902 (2002).
59. I. Towers, A.V. Buryak, R.A. Sammut, and B.A. Malomed, Phys. Rev. E 63, 055601(R) (2001).
60. M. Quiroga-Teixeiro and H. Michinel, J. Opt. Soc. Am. B 14, 2004 (1997); H. Michinel, J. Campo-Táboas, M.L. Quiroga-Teixeiro, J.R. Salgueiro, and R. García-Femández, J. Opt. B: Quantum Semiclassical Opt. 3, 314 (2001).
61. M. Quiroga-Teixeiro and H. Michinel, J. Opt. Soc. Am. B 14, 2004 (1997); H. Michinel, J. Campo-Táboas, M.L. Quiroga-Teixeiro, J.R. Salgueiro, and R. García-Femández, J. Opt. B: Quantum Semiclassical Opt. 3, 314 (2001).
62. V.I. Berezhiani, V. Skarka, and N.B. Aleksić, Phys. Rev. E 64, 057601 (2001).
63. I. Towers, A.V. Buryak, R.A. Sammut, B.A. Malomed, L.-C. Crasovan, and D. Mihalache, Phys. Lett. A 288, 292 (2001).
64. R.L. Pego and H.A. Warchall, J. Nonlinear Sci. 12, 347 (2002).
65. B.A. Malomed, L.-C. Crasovan, and D. Mihalache, Physica D 161, 187 (2002); D. Mihalache, D. Mazilu, L.-C. Crasovan, B.A. Malomed, and F. Lederer, Phys. Rev. E 61, 7142 (2000).
66. B.A. Malomed, L.-C. Crasovan, and D. Mihalache, Physica D 161, 187 (2002); D. Mihalache, D. Mazilu, L.-C. Crasovan, B.A. Malomed, and F. Lederer, Phys. Rev. E 61, 7142 (2000).
67. F. Smektala, C. Quemard, V. Couderc, and A. Barthélémy, J. Non-Cryst. Solids 274, 232 (2000); C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, J. Opt. Soc. Am. B 19, 369 (2002); G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, Opt. Commun. 219, 427 (2003).
68. F. Smektala, C. Quemard, V. Couderc, and A. Barthélémy, J. Non-Cryst. Solids 274, 232 (2000); C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, J. Opt. Soc. Am. B 19, 369 (2002); G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, Opt. Commun. 219, 427 (2003).
69. F. Smektala, C. Quemard, V. Couderc, and A. Barthélémy, J. Non-Cryst. Solids 274, 232 (2000); C. Zhan, D. Zhang, D. Zhu, D. Wang, Y. Li, D. Li, Z. Lu, L. Zhao, and Y. Nie, J. Opt. Soc. Am. B 19, 369 (2002); G. Boudebs, S. Cherukulappurath, H. Leblond, J. Troles, F. Smektala, and F. Sanchez, Opt. Commun. 219, 427 (2003).
70. E.M. Wright, B.L. Lawrence, W. Torruellas, and G. Stegeman, Opt. Lett. 20, 2481. (1995); S. Gatz and J. Herrmann, IEEE J. Quantum Electron. QE-28, 1732 (1992); R.H. Enns, S.S. Rangnekar, and A.E. Kaplan, Phys. Rev. A 35, 466 (1987); D. Mihalache, D. Mazilu, M. Bertolotti, and C. Sibilia, J. Opt. Soc. Am. B 5, 565 (1988).
71. E.M. Wright, B.L. Lawrence, W. Torruellas, and G. Stegeman, Opt. Lett. 20, 2481. (1995); S. Gatz and J. Herrmann, IEEE J. Quantum Electron. QE-28, 1732 (1992); R.H. Enns, S.S. Rangnekar, and A.E. Kaplan, Phys. Rev. A 35, 466 (1987); D. Mihalache, D. Mazilu, M. Bertolotti, and C. Sibilia, J. Opt. Soc. Am. B 5, 565 (1988).
72. E.M. Wright, B.L. Lawrence, W. Torruellas, and G. Stegeman, Opt. Lett. 20, 2481. (1995); S. Gatz and J. Herrmann, IEEE J. Quantum Electron. QE-28, 1732 (1992); R.H. Enns, S.S. Rangnekar, and A.E. Kaplan, Phys. Rev. A 35, 466 (1987); D. Mihalache, D. Mazilu, M. Bertolotti, and C. Sibilia, J. Opt. Soc. Am. B 5, 565 (1988).
73. E.M. Wright, B.L. Lawrence, W. Torruellas, and G. Stegeman, Opt. Lett. 20, 2481. (1995); S. Gatz and J. Herrmann, IEEE J. Quantum Electron. QE-28, 1732 (1992); R.H. Enns, S.S. Rangnekar, and A.E. Kaplan, Phys. Rev. A 35, 466 (1987); D. Mihalache, D. Mazilu, M. Bertolotti, and C. Sibilia, J. Opt. Soc. Am. B 5, 565 (1988).
74. A. Desyatnikov, A. Maimistov, and B. Malomed, Phys. Rev. E 61, 3107 (2000).
75. B.A. Malomed, Phys. Rev. E 58, 7928 (1998).