Multisoliton perturbation theory for the Manakov equations and its applications to nonlinear optics

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

Volumn 59, Issue 2, 1999, Pages 2393-2405

  Yang, Jianke ^a  

^a University of Vermont   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE MODULATION; BIREFRINGENCE; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; NONLINEAR EQUATIONS; NONLINEAR OPTICS; NUMERICAL METHODS; OPTICAL FIBERS; PERTURBATION TECHNIQUES; POLARIZATION; VELOCITY; WAVE PROPAGATION;

MANAKOV EQUATIONS; NONLINEAR OPTICAL FIBERS; NONLINEAR SCHRODINGER EQUATIONS;

SOLITONS;

EID: 0033074434     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.2393     Document Type: Article

References (38)

1. A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
2. L. F. Mollenauer, R. H. Stolen, and J. P. Gordon, Phys. Rev. Lett. 45, 1045 (1980).
3. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz. 61, 118 (1971). [Sov. Phys. JETP 34, 62 (1972)].
4. M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (SIAM, Philadelphia, 1981).
5. C. R. Menyuk, IEEE J. Quantum Electron. QE-23, 174 (1987).
6. C. R. Menyuk, IEEE J. Quantum Electron. QE-25, 2674 (1989).
7. C. R. Menyuk, J. Opt. Soc. Am. B 5, 392 (1988).
8. P. K. A. Wai and C. R. Menyuk, J. Lightwave Technol. LT-14, 148 (1996).
9. T. I. Lakoba and D. J. Kaup, Phys. Rev. E 56, 6147 (1997).
10. J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, Phys. Rev. Lett. 76, 3699 (1996).
11. A. Villeneuve, J. U. Kang, J. S. Aitchison, and G. I. Stegeman, Appl. Phys. Lett. 67, 760 (1995).
12. S. Blair, K. Wagner, and R. McLeod, J. Opt. Soc. Am. B 13, 2141 (1996).
13. D. J. Benney and A. C. Newell, J. Math. Phys. 46, 133 (1967).
14. G. J. Roskes, Stud. Appl. Math. 55, 231 (1976).
15. M. N. Islam, Ultrafast Fiber Switching Devices and Systems. (Cambridge University Press, New York, 1992).
16. K. H. Ahn, M. Vaziri, B. C. Barnett, G. R. Williams, X. D. Cao, M. N. Islam, B. Malo, K. O. Hill, and D. Q. Chowdhury, J. Lightwave Technol. LT-14, 1768 (1996).
17. S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, and N. S. Bergano, J. Lightwave Technol. LT-10, 28 (1992).
18. L. F. Mollenauer, J. P. Gordon, and F. Heismann, Opt. Lett. 20, 2060 (1995).
19. J. P. Silmon-Clyde and J. N. Elgin, Opt. Lett. 23, 180 (1998).
20. S. Blair, K. Wagner, and R. McLeod, Opt. Lett. 19, 1945 (1994).
21. S. V. Manakov, Zh. Eksp. Teor. Fiz. 65, 505 (1973) [Sov. Phys. JETP 38, 248 (1974)].
22. R. Radhakrishnan, M. Lakshmanan, and J. Hietarinta, Phys. Rev. E 56, 2213 (1997).
23. B. A. Malomed and S. Wabnitz, Opt. Lett. 16, 1388 (1991).
24. C. Sophocleous and D. F. Parker, Opt. Commun. 112, 214 (1994).
25. J. Yang and D. J. Benney, Stud. Appl. Math. 96, 111 (1996).
26. Y. S. Kivshar and B. A. Malomed, Rev. Mod. Phys. 61, 763 (1989).
27. D. J. Kaup, Phys. Rev. A 42, 5689 (1990).
28. Y. Matsuno, Phys. Rev. E 51, 1471 (1995).
29. Y. Matsuno and D. J. Kaup, J. Math. Phys. 38, 5198 (1997).
30. J. Yang and D. J. Kaup (unpublished).
31. M. Midrio, S. Wabnitz, and P. Franco, Phys. Rev. E 54, 5743 (1996).
32. V. S. Shchesnovich and E. V. Doktorov, Phys. Rev. E 55, 7626 (1997).
33. J. P. Keener and D. W. McLaughlin, Phys. Rev. A 16, 777 (1977).
34. D. J. Kaup and B. A. Malomed, Phys. Rev. A 48, 599 (1993).
35. D. K. Campbell, J. F. Schonfeld, and C. A. Wingate, Physica D 9, 1 (1983).
36. M. J. Ablowitz, M. D. Kruskal, and J. R. Ladik, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 36, 428 (1979).
37. J. Yang, Stud. Appl. Math. 98, 61 (1997).
38. Y. Oh, J. W. Haus, and R. L. Fork, Opt. Lett. 21, 315 (1996).