Systematic construction of multisoliton complexes

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 3 2, 2004, Pages

  Han, Kyoung Ho ^a   Shin, H J ^b  

^a Korea Nazarene University   (South Korea)

^b Kyung Hee University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; GAS CONDENSATES; ITERATIVE METHODS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PARAMETER ESTIMATION;

MATRIC DETERMINANTS; MULTISOLITON COMPLEXES; SELF-INDUCED TRANSPARENCY; SOLITARY WAVES;

SOLITONS;

EID: 42749107890     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.036606     Document Type: Article

References (39)

1. M. Segev and D.N. Christodoulides, Spatial Optical Solitons, edited by S. Trillo and W.E. Torruellas, Springer Series in Optical Sciences, Vol. 82 (Springer, New York, 2001), pp. 87-125.
2. N. Akhmediev and A. Ankiewicz, Chaos 10, 600 (2000).
3. A.V. Buryak and N.N. Akhmediev, IEEE J. Quantum Electron. 31, 682 (1995).
4. E.P. Bashkin and A.V. Vagov, Phys. Rev. B 56, 6207 (1997).
5. C.M. De Sterke and J.E. Sipe, Prog. Opt. 33, 205 (1994).
6. D.N. Christodoulides and R.I. Joseph, Opt. Lett. 13, 53 (1988).
7. M.V. Tratnik and J.E. Sipe, Phys. Rev. A 38, 2011 (1988).
8. F.T. Hioe, Phys. Rev. Lett. 82, 1152 (1999); Phys. Rev. E 58, 6700 (1998).
9. F.T. Hioe, Phys. Rev. Lett. 82, 1152 (1999); Phys. Rev. E 58, 6700 (1998).
10. M. Florjanczyk and R. Tremblay, Phys. Lett. A 141, 34 (1989).
11. F.J. Romeiras and G. Rowlands, Phys. Rev. A 33, 3499 (1986).
12. V. Kutuzov, V.M. Petnikova, V.V. Shuvalov, and V.A. Vysloukh, Phys. Rev. E 57, 6056 (1998).
13. S.V. Manakov, Zh. Éksp. Teor. Fiz. 65, 505 (1973) [Sov. Phys. JETP 38, 248 (1974)].
14. S.V. Manakov, Zh. Éksp. Teor. Fiz. 65, 505 (1973) [Sov. Phys. JETP 38, 248 (1974)].
15. See, for example, G.P. Agrawal, Nonlinear Fiber Optics (Academic Press, New York, 1995).
16. V.E. Zakharov and A.B. Shabat, Zh. Éksp. Teor. Fiz. 61, 118 (1972) [Sov. Phys. JETP 34, 62 (1972)].
17. V.E. Zakharov and A.B. Shabat, Zh. Éksp. Teor. Fiz. 61, 118 (1972) [Sov. Phys. JETP 34, 62 (1972)].
18. S.A. Ponomarenko, Phys. Rev. E 65, 055601 (2002).
19. F.T. Hioe, J. Phys. A 32, 1217 (1999).
20. A. Ankiewicz, W. Królikowski, and N.N. Akhmediev, Phys. Rev. E 59, 6079 (1999).
21. N.N. Akhmediev and A. Ankiewicz, Phys. Rev. Lett. 82, 2661 (1999).
22. A.A. Sukhorukov, A. Ankiewicz, and N.N. Akhmediev, Opt. Commun. 195, 293 (2001).
23. A.A. Sukhorukov and N.N. Akhmediev, Phys. Rev. E 61, 5893 (2000).
24. A.A. Sukhorukov and N.N. Akhmediev, Phys. Rev. Lett. 83, 4736 (1999).
25. D.E. Pelinovsky and Y.S. Kivshar, Phys. Rev. E 62, 8668 (2000).
26. K.W. Chow, Phys. Lett. A 285, 319 (2001).
27. K.W. Chow and D.W.C. Lai, Phys. Rev. E 65, 026613 (2002).
28. G. Darboux, Compt. Rend. 94, 1456 (1882).
29. V. Matveev and M. Salle, Darboux Transformations and Solitons, Springer Series in Nonlinear Dynamics (Springer-Verlag, Heidelberg, 1990).
30. M. Crum, Q. J. Math. 6, 121 (1955).
31. Q.-H. Park and H.J. Shin, Physica D 157, 1 (2001).
32. Q.-H. Park and H.J. Shin, IEEE J. Sel. Top. Quantum Electron. 8, 432 (2002).
33. See, for instance, E. Infeld and G. Rowlands, Nonlinear Waves, Solitons and Chaos, 2nd ed. (Cambridge University Press, 2000).
34. N.N. Akhmediev and S. Wabnitz, J. Opt. Soc. Am. B 9, 236 (1992).
35. Q.-H. Park and H.J. Shin, Phys. Rev. E 61, 3093 (2000).
36. H.J. Shin, Phys. Rev. E 63, 026606 (2001).
37. J.W. Fleischer et al., Nature (London) 422, 147 (2003).
38. Q.-H. Park and H.J. Shin, Phys. Rev. A 57, 4621 (1998); 57, 4643 (1998).
39. Q.-H. Park and H.J. Shin, Phys. Rev. A 57, 4621 (1998); 57, 4643 (1998).