Multi-soliton complexes

Chaos

Volumn 10, Issue 3, 2000, Pages 600-612

  Akhmediev, Nail ^a   Ankiewicz, Adrian ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001220393     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1286263     Document Type: Review

References (66)

1. A. Hasegawa, Phys. Fluids 20, 2155 (1977);
2. 18, 77 (1975).
3. E. P. Bashkin and A. V. Vagov, Phys. Rev. B 56, 6207 (1997).
4. A. Hasegawa, Opt. Lett. 5, 416 (1980).
5. A. V. Buryak and N. N. Akhmediev, IEEE J. Quantum Electron. 31, 682 (1995).
6. C. M. De Sterke and J. E. Sipe, Prog. Opt. 33, 205 (1994).
7. C. B. Manakov, Zh. Teor. Éksp. Fiz. 65, 505 (1973) [Sov. Phys. JETP 38, 248 (1974)].
8. D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 53 (1988);
9. M. V. Tratnik and J. E. Sipe, Phys. Rev. A 38, 2011 (1988).
10. C. R. Menyuk, Opt. Lett. 12, 614 (1987);
11. J. Opt. Soc. Am. B 5, 392 (1988).
12. Yu. N. Karamzin and A. P. Sukhorukov, Pis'ma Zh. Éksp. Teor. Fiz. 20, 734 (1974) [JETP Lett. 20, 339 (1974)].
13. A. S. Davydov, Solitons in Molecular Systems, 2nd ed. (Reidel, Dordrecht, 1991).
14. A. Scott, Phys. Rep. 217, 1 (1992).
15. M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
16. M. Segev and G. Stegeman, Phys. Today 8, 42 (1998).
17. D. N. Christodoulides, T. H. Coskun, and R. I. Joseph, Opt. Lett. 22, 1080 (1997).
18. D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
19. M. Shih et al., Electron. Lett. 31, 826 (1995).
20. G. Duree et al., Phys. Rev. Lett. 71, 533 (1993).
21. M. D. Iturbe-Castillo et al., Appl. Phys. Lett. 64, 408 (1994).
22. A. A. Zozulya, D. Z. Anderson, A. V. Mamaev, and M. Saffman, Europhys. Lett. 36, 419 (1996).
23. A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
24. A. W. Snyder and D. J. Mitchell, Phys. Rev. Lett. 80, 1422 (1998).
25. V. V. Shkunov and D. Z. Anderson, Phys. Rev. Lett. 81, 2683 (1998).
26. N. N. Akhmediev, J. M. Soto-Crespo, S. T. Cundiff, B. C. Collings, and W. H. Knox, Opt. Lett. 23, 852 (1998).
27. M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, London Mathematical Society Lecture Notes Series 149 (Cambridge University Press, Cambridge, 1991), p. 53.
28. V. G. Makhan'kov and O. K. Pashaev, Theor. Mat. Fiz. 53, 55 (1982) [Theor. Math. Phys. 53, 979 (1982)].
29. V. S. Gerdzhikov and M. I. Ivanov, Theor. Mat. Fiz. 52, 89 (1982) [Theor. Math. Phys. 52, 676 (1982)].
30. K. Nakkeeran, K. Porsezian, P. Shanmugha Sundaram, and A. Mahalingam, Phys. Rev. Lett. 80, 1425 (1998).
31. V. E. Zakharov and A. B. Shabat, Zh. Éksp. Teor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1971)].
32. N. N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman & Hall, London, 1997).
33. N. N. Akhmediev, W. Królikowski, and A. W. Snyder, Phys. Rev. Lett. 81, 4632 (1998).
34. P. D. Drummond and H. He, Phys. Rev. A 56, R1107 (1997).
35. N. N. Akhmediev, V. M. Eleonskii, N. E. Kulagin, and L. P. Shil'nikov, Sov. Tech. Phys. Lett. 15, 587 (1989); (in Russian) Pis'ma Zh. Tech. Fiz. 15, 19 (1989).
36. F. T. Hioe, Phys. Rev. Lett. 82, 1152 (1999);
37. Phys. Rev. E 58, 6700 (1998).
38. M. Florjanczyk and R. Tremblay, Phys. Lett. A 141, 34 (1989).
39. F. J. Romeiras and G. Rowlands, Phys. Rev. A 33, 3499 (1986).
40. V. M. Eleonskii and N. E. Kulagin, Sov. Phys. JETP 85, 1437 (1983).
41. M. Lakshamanan and R. Sahadevan, Phys. Rev. A 31, 861 (1985).
42. V. A. Vysloukh, V. Kuznetsov, V. M. Petnikova, and V. V. Shuvalov, Sov. J. Quantum Electron. 27, 843 (1997);
43. V. Kutuzov, V. M. Petnikova, V. V. Shuvalov, and V. A. Vysloukh, Phys. Rev. E 57, 6056 (1998).
44. V. M. Eleonskii, V. G. Korolev, N. E. Kulagin, and L. P. Shil'nikov, Sov. Phys. JETP 72, 619 (1991); (in Russian): Zh. Éksp. Teor. Fiz. 99, 1113 (1991).
45. J. Hientarinta, Phys. Rep. 147, 87 (1987).
46. Y. Nogami and C. S. Warke, Phys. Lett. A 59, 251 (1976).
47. I. Kay and H. E. Moses, J. Appl. Phys. 27, 1503 (1956).
48. C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, Commun. Pure Appl. Math. 27, 97 (1974).
49. A. Ankiewicz, W. Królikowski, and N. N. Akhmediev, Phys. Rev. E 59, 6079 (1999).
50. A. A. Sukhorukov and N. N. Akhmediev, Phys. Rev. Lett. 83, 4736 (1999).
51. A. Ankiewicz, Opt. Acta 25, 361 (1978).
52. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, NBS, Applied Mathematics Series (US Govt. Print Office, Washington, DC, 1964), Vol. 55.
53. J. Satsuma and N. Yajima, Prog. Theor. Phys. Suppl. 55, 284 (1974).
54. N. N. Akhmediev and S. Wabnitz, J. Opt. Soc. Am. B 9, 236 (1992).
55. N. Bélanger and P. A. Bélanger, Opt. Commun. 124, 301 (1996).
56. Y. Inoue, J. Plasma Phys. 16, 439 (1976).
57. N. Akhmediev and A. Ankiewicz, Phys. Rev. Lett. 82, 2661 (1999).
58. A. W. Snyder and J. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983), p. 439.
59. D. N. Christodoulides, T. H. Coskun, M. Mitchell, Z. Chen, and M. Segev, Phys. Rev. Lett. 80, 5113 (1998).
60. G. L. Lamb, Elements of Soliton Theory (Wiley, New York, 1980).
61. N. Litchinitser, W. Królikowski, N. Akhmediev, and G. Agarwal, Phys. Rev. E 60, 2377-2380 (1999).
62. M. Mitchell, M. Segev, T. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
63. D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
64. N. N. Akhmediev, Sov. Phys. JETP 56, 299 (1982).
65. R. Radhakrishnan, M. Lakshmanan, and J. Hientarinta, Phys. Rev. E 56, 2213 (1997).
66. M. H. Jakubowski, K. Steiglitz, and R. Squier, Phys. Rev. E 58, 6752 (1998).