Three-dimensional spinning solitons in the cubic-quintic nonlinear medium

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 6 B, 2000, Pages 7142-7145

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

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^b INSTITUTE OF ATOMIC PHYSICS   (Romania)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DISPERSION (WAVES); ELECTROMAGNETIC WAVE PROPAGATION; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; QUANTUM THEORY; REFRACTIVE INDEX; NONLINEAR SYSTEMS; SLOW LIGHT;

CUBIC QUINTIC NONLINEARITY; SPINNING SOLITON; AZIMUTHAL INSTABILITY; LIGHT BULLET; NON-LINEAR MEDIA; NONLINEAR MEDIUM; ONE PARAMETER FAMILY; QUINTIC; SYMMETRY-BREAKING; VORTEX SOLITONS;

SOLITONS;

EID: 0034205393     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.7142     Document Type: Article

References (31)

1. Y. Silberberg, Opt. Lett. 15, 1282 (1990).
2. J. T. Manassah, P. L. Baldeck, and R. R. Alfano, Opt. Lett. 13, 1090 (1988).
3. A. B. Blagoeva, S. G. Dinev, A. A. Dreischuh, and A. Naidenov, IEEE J. Quantum Electron. QE-27, 2060 (1991).
4. L. Bergé, Phys. Rep. 303, 259 (1998); L. Bergé, V. K. Mezentsev, J. J. Rasmussen, and J. Wyller, Phys. Rev. A 52, R28 (1995); L. Bergé, O. Bang, J. J. Rasmussen, and V. K. Mezentsev, Phys. Rev. E 55, 3555 (1997).
5. L. Bergé, Phys. Rep. 303, 259 (1998); L. Bergé, V. K. Mezentsev, J. J. Rasmussen, and J. Wyller, Phys. Rev. A 52, R28 (1995); L. Bergé, O. Bang, J. J. Rasmussen, and V. K. Mezentsev, Phys. Rev. E 55, 3555 (1997).
6. L. Bergé, Phys. Rep. 303, 259 (1998); L. Bergé, V. K. Mezentsev, J. J. Rasmussen, and J. Wyller, Phys. Rev. A 52, R28 (1995); L. Bergé, O. Bang, J. J. Rasmussen, and V. K. Mezentsev, Phys. Rev. E 55, 3555 (1997).
7. R. H. Enns, D. E. Edmundson, S. S. Rangnekar, and A. E. Kaplan, Opt. Quantum Electron. 24, S1295 (1992); D. E. Edmundson and R. H. Enns, Phys. Rev. A 51, 2491 (1995); D. E. Edmundson, Phys. Rev. E 55, 7636 (1997).
8. R. H. Enns, D. E. Edmundson, S. S. Rangnekar, and A. E. Kaplan, Opt. Quantum Electron. 24, S1295 (1992); D. E. Edmundson and R. H. Enns, Phys. Rev. A 51, 2491 (1995); D. E. Edmundson, Phys. Rev. E 55, 7636 (1997).
9. R. H. Enns, D. E. Edmundson, S. S. Rangnekar, and A. E. Kaplan, Opt. Quantum Electron. 24, S1295 (1992); D. E. Edmundson and R. H. Enns, Phys. Rev. A 51, 2491 (1995); D. E. Edmundson, Phys. Rev. E 55, 7636 (1997).
10. R. McLeod, K. Wagner, and S. Blair, Phys. Rev. A 52, 3254 (1995).
11. A. A. Kanashov and A. M. Rubenchik, Physica D 4, 122 (1981).
12. K. Hayata and M. Koshiba, Phys. Rev. E 51, 1499 (1995); B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, ibid. 56, 4725 (1997); D. V. Skryabin and W. J. Firth, Opt. Commun. 148, 79 (1998); D. Mihalache, D. Mazilu, B. A. Malomed, and L. Torner, ibid. 152, 365 (1998); 169, 341 (1999); D. Mihalache, D. Mazilu, J. Dörring, and L. Torner, ibid. 159, 129 (1999).
13. K. Hayata and M. Koshiba, Phys. Rev. E 51, 1499 (1995); B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, ibid. 56, 4725 (1997); D. V. Skryabin and W. J. Firth, Opt. Commun. 148, 79 (1998); D. Mihalache, D. Mazilu, B. A. Malomed, and L. Torner, ibid. 152, 365 (1998); 169, 341 (1999); D. Mihalache, D. Mazilu, J. Dörring, and L. Torner, ibid. 159, 129 (1999).
14. K. Hayata and M. Koshiba, Phys. Rev. E 51, 1499 (1995); B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, ibid. 56, 4725 (1997); D. V. Skryabin and W. J. Firth, Opt. Commun. 148, 79 (1998); D. Mihalache, D. Mazilu, B. A. Malomed, and L. Torner, ibid. 152, 365 (1998); 169, 341 (1999); D. Mihalache, D. Mazilu, J. Dörring, and L. Torner, ibid. 159, 129 (1999).
15. K. Hayata and M. Koshiba, Phys. Rev. E 51, 1499 (1995); B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, ibid. 56, 4725 (1997); D. V. Skryabin and W. J. Firth, Opt. Commun. 148, 79 (1998); D. Mihalache, D. Mazilu, B. A. Malomed, and L. Torner, ibid. 152, 365 (1998); 169, 341 (1999); D. Mihalache, D. Mazilu, J. Dörring, and L. Torner, ibid. 159, 129 (1999).
16. K. Hayata and M. Koshiba, Phys. Rev. E 51, 1499 (1995); B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, ibid. 56, 4725 (1997); D. V. Skryabin and W. J. Firth, Opt. Commun. 148, 79 (1998); D. Mihalache, D. Mazilu, B. A. Malomed, and L. Torner, ibid. 152, 365 (1998); 169, 341 (1999); D. Mihalache, D. Mazilu, J. Dörring, and L. Torner, ibid. 159, 129 (1999).
17. K. Hayata and M. Koshiba, Phys. Rev. E 51, 1499 (1995); B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, ibid. 56, 4725 (1997); D. V. Skryabin and W. J. Firth, Opt. Commun. 148, 79 (1998); D. Mihalache, D. Mazilu, B. A. Malomed, and L. Torner, ibid. 152, 365 (1998); 169, 341 (1999); D. Mihalache, D. Mazilu, J. Dörring, and L. Torner, ibid. 159, 129 (1999).
18. X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999).
19. W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997); L. Torner and D. V. Petrov, Electron. Lett. 33, 608 (1997); D. V. Petrov and L. Torner, Opt. Quantum Electron. 29, 1037 (1997).
20. W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997); L. Torner and D. V. Petrov, Electron. Lett. 33, 608 (1997); D. V. Petrov and L. Torner, Opt. Quantum Electron. 29, 1037 (1997).
21. W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997); L. Torner and D. V. Petrov, Electron. Lett. 33, 608 (1997); D. V. Petrov and L. Torner, Opt. Quantum Electron. 29, 1037 (1997).
22. D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, Opt. Lett. 23, 1444 (1998).
23. D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer (unpublished).
24. B. L. Lawrence, M. Cha, J. U. Kang, W. Torruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, Electron. Lett. 30, 447 (1994); E. W. Wright, B. L. Lawrence, W. Torruellas, and G. I. Stegeman, Opt. Lett. 20, 2481 (1995); B. L. Lawrence and G. I. Stegeman, ibid. 23, 591 (1998).
25. B. L. Lawrence, M. Cha, J. U. Kang, W. Torruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, Electron. Lett. 30, 447 (1994); E. W. Wright, B. L. Lawrence, W. Torruellas, and G. I. Stegeman, Opt. Lett. 20, 2481 (1995); B. L. Lawrence and G. I. Stegeman, ibid. 23, 591 (1998).
26. B. L. Lawrence, M. Cha, J. U. Kang, W. Torruellas, G. Stegeman, G. Baker, J. Meth, and S. Etemad, Electron. Lett. 30, 447 (1994); E. W. Wright, B. L. Lawrence, W. Torruellas, and G. I. Stegeman, Opt. Lett. 20, 2481 (1995); B. L. Lawrence and G. I. Stegeman, ibid. 23, 591 (1998).
27. M. Quiroga-Teixeiro and H. Michinel, J. Opt. Soc. Am. B 14, 2004 (1997).
28. A. Desyatnikov, A. Maimistov, and B. Malomed, Phys. Rev. E 61, 3107 (2000).
29. M. G. Vakhitov and A. A. Kolokolov, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 16, 1020 (1973) [Sov. Radiophys. 16, 783 (1973)].
30. M. G. Vakhitov and A. A. Kolokolov, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 16, 1020 (1973) [Sov. Radiophys. 16, 783 (1973)].
31. D. Neshev (private communication).