Collapse arrest and soliton stabilization in nonlocal nonlinear media

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

Volumn 66, Issue 4, 2002, Pages 5-

  Bang, Ole ^a   Krolikowski, Wieslaw ^b   Wyller, John ^c   Rasmussen, Jens Juul ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^c NORWEGIAN UNIVERSITY OF LIFE SCIENCES   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELDS; ELECTROMAGNETIC WAVES; FOURIER OPTICS; HAMILTONIANS; OPTICAL KERR EFFECT; RAMAN SCATTERING; SOLITONS; WAVE EQUATIONS;

COLLAPSE ARREST; FOURIER SPECTRUM; NONLINEAR MEDIA; SOLITON STABILIZATION;

NONLINEAR EQUATIONS;

ARTICLE;

EID: 41349096194     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.046619     Document Type: Article

References (40)

1. J. J. Rasmussen and K. Rypdal, Phys. Scr. 33, 481 (1986).
2. L. Bergé, Phys. Rep. 303, 259 (1998).
3. Y. S. Kivshar and D. E. Pelinovsky, Phys. Rep. 331, 117 (2000).
4. A. Y. Wong and P. Y. Cheung, Phys. Rev. Lett. 52, 1222 (1984).
5. E. Garmire, R. Y. Chiao, and C. H. Townes, Phys. Rev. Lett. 16, 347 (1966).
6. C. A. Sackett, J. M. Gerton, M. Welling, and R. C. Hulet, Phys. Rev. Lett. 82, 876 (1999).
7. P. P. Banerjee, A. Korpel, and K. E. Lonngren, Phys. Fluids 26, 2393 (1983).
8. S. L. Shapiro and S. A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars—The Physics of Compact Objects (John Wiley & Sons, New York, 1983);
9. M. Houbiers and H. T. Stoof, Phys. Rev. A 54, 5055 (1996).
10. C. Sulem and P. Sulem, The Nonlinear Schrödinger Equation (Springer-Verlag, Berlin, 1999).
11. E. A. Kuznetsov, J. J. Rasmussen, K. Rypdal, and S. K. Turitsyn, Physica D 87, 273 (1995).
12. V. E. Zakharov, in Handbook of Plasma Physics Vol. 2. Basic Plasma Physics II, edited by A. A. Galeev and R. N. Sudan (North-Holland, Amsterdam, 1984).
13. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
14. O. Bang, J. J. Rasmussen, and P. L. Christiansen, Nonlinearity 7, 205 (1994);
15. O. BangJ. J. RasmussenP. L. ChristiansenPhysica D 68, 169 (1993).
16. M. D. Feit and J. A. Fleck, J. Opt. Soc. Am. B 5, 623 (1988).
17. O. Bang, Phys. Rev. E 49, 4627 (1994);
18. O. BangAppl. Anal. 57, 3 (1994).
19. O. Bang, D. Edmundson, and W. Krolikowski, Phys. Rev. Lett. 83, 5479 (1999).
20. A. G. Litvak, JETP Lett. 4, 230 (1966).
21. D. Suter and T. Blasberg, Phys. Rev. A 48, 4583 (1993).
22. A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).
23. T. A. Davydova and A. I. Fishchuk, Ukr. J. Phys. 40, 487 (1995).
24. H. L. Pécseli and J. J. Rasmussen, Plasma Phys. 22, 421 (1980).
25. L. Bergé and A. Couairon, Phys. Plasmas 7, 210 (2000).
26. K. Goral, K. Rzazewski, and T. Pfau, Phys. Rev. A 61, 051601R (2000).
27. V. M. Pérez-García, V. V. Konotop, and J. J. García-Ripoll, Phys. Rev. E 62, 4300 (2000).
28. A. Parola, L. Salasnich, and L. Reatto, Phys. Rev. A 57, R3180 (1998).
29. S. K. Turitsyn, Teor. Mat. Fiz. 64, 226 (1985).
30. D. V. Fedorov and A. S. Jensen, Phys. Rev. A 63, 063608 (2001).
31. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic Press, San Diego, 1995);
32. J. Wyller, Physica D 157, 9 (2001).
33. W. Królikowski and O. Bang, Phys. Rev. E 63, 016610 (2001).
34. X. Wang, D. W. Brown, K. Lindenberg, and B. J. West, Phys. Rev. A 37, 3557 (1988).
35. A. W. Snyder and D. J. Mitchell, Science 276, 1538 (1997).
36. J. La Salle and S. Lefschetz, Stability by Liapunov’s Direct Method (Academic Press, New York, 1961).
37. G. Rosen, J. Math. Phys. 6, 1269 (1965).
38. N. G. Vakhitov and A. A. Kolokolov, Radiophys. Quantum Electron. 16, 783 (1975).
39. W. Krolikowski, O. Bang, J. J. Rasmussen, and J. Wyller, Phys. Rev. E 64, 016612 (2001).
40. N. Akhmediev, A. Ankiewicz, and R. Grimshaw, Phys. Rev. E 59, 6088 (1999).