Nonlinear theory of oscillating, decaying, and collapsing solitons in the generalized nonlinear Schrödinger equation

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

Volumn 53, Issue 2, 1996, Pages 1940-1953

  Pelinovsky, Dmitry E ^a   Afanasjev, Vsevolod V ^a   Kivshar, Yuri S ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR SCHRODINGER EQUATION; NONLINEAR THEORY; POWER LAW; SOLITON COLLAPSE; SOLITON DECAY; SOLITON DYNAMICS;

ALGEBRA; ASYMPTOTIC STABILITY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DYNAMICS; EIGENVALUES AND EIGENFUNCTIONS; NONLINEAR EQUATIONS; OSCILLATIONS; PERTURBATION TECHNIQUES;

SOLITONS;

EID: 0030080616     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.1940     Document Type: Article

References (25)

1. R. Y. Chiao, E. Garmire and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
2. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)].
3. A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
4. V. E. Zakharov, V. V. Sobolev and V. S. Synakh, Zh. Eksp. Teor. Fiz. 60, 136 (1971) [Sov. Phys. JETP 33, 77 (1971)].
5. V. E. Zakharov and V. S. Synakh, Sov. Phys. JETPibid. 68, 940 (1975) [ibid. 41, 465 (1975)].
6. A. E. Kaplan, Phys. Rev. Lett. 55, 1291 (1985).
7. A. E. Kaplan, IEEE J. Quantum Electron. 21, 1538 (1985).
8. R. H. Enns, S. S. Rangnekar and A. E. Kaplan, Phys. Rev. A 35, 466 (1987).
9. R. H. Enns, S. S. Rangnekar and A. E. Kaplan, Phys. Rev. A 36, 1270 (1987).
10. A. W. Snyder and A. P. Sheppard, Opt. Lett. 18, 499 (1993).
11. Yu. S. Kivshar and B. A. Malomed, Rev. Mod. Phys. 61, 763 (1989).
12. A. W. Snyder and D. J. Mitchell, Opt. Lett. 18, 101 (1993).
13. E. A. Kuznetsov, A. M. Rubenchik and V. E. Zakharov, Phys. Rep. 142, 103 (1986).
14. M. G. Vakhitov and A. A. Kolokolov, Izv. Vyssh. Uch. Zav. Radiofizika 16, 1020 (1973) [Radiophys. Quantum Electron. 16, 783 (1973)].
15. M. I. Weinstein, Comments Pure Appl. Math. 39, 51 (1986).
16. A. W. Snyder, S. Hewlett and D. J. Mitchel, Phys. Rev. E 51, 6297 (1995).
17. K. Hayata and M. Koshiba, J. Opt. Soc. Am. B 11, 2581 (1994).
18. K. Hayata and M. Koshiba, Phys. Rev. E 51, 1499 (1995)
19. K. Hayata and M. Koshiba, Phys. Rev. E 51, 5155 (1995).
20. Kh. I. Pushkarov and D. I. Pushkarov, Rep. Math. Phys. 17, 37 (1980).
21. R. Micallef, V. V. Afanasjev, Yu. s. Kivshar, and J. D. Love (unpublished).
22. D. E. Pelinovsky, A. V. Buryak and Yu. S. Kivshar, Phys. Rev. Lett. 75, 591 (1995).
23. E. W. Laedke and K. H. Spatschek, Phys. Lett. 74A, 205 (1979).
24. E. A. Kuznetsov and S. K. Turitsyn, Phys. Lett. 112A, 273 (1985).
25. K. Rypdal, J. J. Rasmussen and K. Thomsen, Physica D 16, 339 (1985).