Azimuthal instability of spinning spatiotemporal solitons

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

Volumn 62, Issue 2, 2000, Pages R1505-R1508

  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

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; ITERATIVE METHODS; LIGHT PROPAGATION; LITHIUM COMPOUNDS; OPTICAL MATERIALS; SECOND HARMONIC GENERATION; SYSTEM STABILITY; THREE DIMENSIONAL;

BAND MATRIX ALGORITHM; GROUP VELOCITY DISPERSION; LIGHT BULLETS; SPINNING SPATIOTEMPORAL SOLITONS;

SOLITONS;

EID: 0034238866     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.R1505     Document Type: Article

References (34)

1. A. A. Kanashov and A. M. Rubenchik, Physica D 4, 122 (1981).
2. J. T. Manassah, P. L. Baldeck, and R. R. Alfano, Opt. Lett. 13, 1090 (1988).
3. Y. Silberberg, Opt. Lett. 15, 1282 (1990).
4. A. B. Blagoeva, S. G. Dinev, A. A. Dreischuh, and A. Naidenov, IEEE J. Quantum Electron. QE-27, 2060 (1991).
5. K. Hayata and M. Koshiba, Phys. Rev. Lett. 71, 3275 (1993)
6. K. HayataM. KoshibaPhys. Rev. E 48, 2312 (1993).
7. X. Liu, L.J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999)
8. X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. E 61, R4722 (2000).
9. Y. Chen and J. Atai, Opt. Lett. 20, 133 (1995).
10. R. H. Enns, D. E. Edmundson, S. S. Rangnekar, and A. E. Kaplan, Opt. Quantum Electron. 24, S1295 (1992).
11. D. E. Edmundson and R. H. Enns, Phys. Rev. A 51, 2491 (1995)
12. D. E. EdmundsonR. H. EnnsOpt. Lett. 18, 1609 (1993).
13. R. McLeod, K. Wagner, and S. Blair, Phys. Rev. A 52, 3254 (1995).
14. L. Bergé, V. K. Mezentsev, J. J. Rasmussen, and J. Wyller, Phys. Rev. A 52, R28 (1995)
15. L. Bergé, O. Bang, J. J. Rasmussen, and V. K. Mezentsev, Phys. Rev. E 55, 3555 (1997).
16. B. A. Malomed, P. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, Phys. Rev. E 56, 4725 (1997)
17. D. Mihalache, D. Mazilu, B. A. Malomed, and L. Torner, Opt. Commun. 152, 365 (1998)
18. Opt. Commun.D. MihalacheD. MaziluB. A. MalomedL. Torner169, 341 (1999)
19. Opt. Commun.D. Mihalache, D. Mazilu, J. Dörring, and L. Torner, 159, 129 (1999).
20. D. V. Skryabin and W. J. Firth, Opt. Commun. 148, 79 (1998).
21. A. Desyatnikov, A. I. Maimistov, and B. A. Malomed, Phys. Rev. E 61, 3107 (2000).
22. I. V. Mel’nikov, D. Mihalache, and N.-C. Panoiu, Opt. Commun. 181, 345 (2000).
23. M. Blaauboer, B. A. Malomed, and G. Kurizki, Phys. Rev. Lett. 84, 1906 (2000).
24. Y. Bakman and B. Malomed, in Nonlinear Guided Waves and Their Applications, OSA Technical Digest (Optical Society of America, Washington DC, 1999), p. 389.
25. W. J. Firth and D. V. Skryabin, Phys. Rev. Lett. 79, 2450 (1997)
26. D. V. Petrov and L. Torner, Opt. Quantum Electron. 29, 1037 (1997)
27. D. V. Skryabin and W. J. Firth, Phys. Rev. E 58, 3916 (1998).
28. A. De Rossi, S. Trillo, A.V. Buryak, and Y.S. Kivshar, Opt. Lett. 22, 868 (1997).
29. N. N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman and Hall, London, 1997).
30. D. E. Edmundson, Phys. Rev. E 55, 7636 (1997);see also http://www.sfu.ca/ (Formula presented)renns/lbullets.html.
31. D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, Opt. Lett. 23, 1444 (1998).
32. J. M. Soto-Crespo, D. R. Heatley, E. M. Wright, and N. N. Akhmediev, Phys. Rev. A 44, 636 (1991)
33. Phys. Rev. AJ. Atai, Y. Chen, and J. M. Soto-Crespo, 49, R3170 (1994).
34. D. Mihalache, D. Mazilu, L.-C. Crasovan, B. A. Malomed, and F. Lederer, Phys. Rev. E 61, 7142 (2000).