An analytical approach to soliton of the saturable non-linear Schrödinger equation determination and consideration of stability of solitary solutions of cubic-quintic non-linear Schrödinger equation (CQNLSE)

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 5, 2009, Pages 2034-2045

  Adib, Behrooz ^a   Heidari, Alireza ^a   Tayyari, Sayyed Faramarz ^b  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b FERDOWSI UNIVERSITY OF MASHHAD   (Iran)

Author keywords

Non linear effects; Non linear Schr dinger equation; Saturable soliton; Solitary solutions

Indexed keywords

ELECTROMAGNETIC PULSE; NUMERICAL METHODS; OPTICAL FIBERS; REFRACTIVE INDEX;

ANALYTICAL APPROACH; NON LINEAR; NON-LINEAR SCHRÖDINGE EQUATION; NONLINEAR EFFECT; NUMERICAL CALCULATION METHODS; OPTICAL MEDIUM; QUINTIC; SATURABLE SOLITON; SOLITARY SOLUTIONS; SOLITON SOLUTIONS;

SOLITONS;

EID: 56049092753     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2008.07.008     Document Type: Article

References (31)

1. Hasegawa A., and Tappert F. Appl Phys Lett 23 (1973) 142
2. Mollenauer L.F., Stolen R.H., and Gordon J.P. Phys Rev Lett 45 (1980) 1095
3. Biswas A., and Konar S. Introduction to non-Kerr law optical solitons (2006), CRC Press, Boca Raton
4. Biswas A. Opt Fiber Technol 9 (2003) 224
5. Goutaz J.L., and Kull M. J Opt Soc Am B 8 (1991) 95
6. Gatz S., and Herrmann J. J Opt Soc Am B 8 (1991) 2296
7. Gatz S., and Herrmann J. Opt Lett 17 (1992) 484
8. Aicklen G.H., and Tamil L.S. J Opt Soc Am B 13 (1996) 1999
9. Krolikowski W., and Luther-Davies B. Opt Lett 17 (1992) 1414
10. Krolikowski W., and Luther-Davies B. Opt Lett 18 (1993) 188
11. Remoissenet M. Waves called solitons (1996), Springer-Verlag, Berlin
12. Drazin P.G., and Johnson R.S. Solitons: an introduction (1989), Cambridge University Press, Cambridge
13. Corless RM, Gonnet GH, Hare DEG, Jeffrey DJ. Technical Report Cs-93-03. Department of Computer Science, University of Waterloo, Canada. .
14. Georges T., and Favre F. J Opt Soc Am B 10 (1993) 1880
15. Zakharov V.E., and Shabat A.B. Zh Eksp Teor Fiz 61 (1971) 118 [Sov Phys JETP 1972;34:64]
16. Zakharov V.E., and Shabat A.B. Zh Eksp Teor Fiz 64 (1973) 1627 [1973;37:823]
17. Russell H. Am Scient 80 (1992) 350
18. Tanev S., and Pushkarov D.I. Opt Commun 141 (1997) 322
19. Mitchell D.J., and Synder A.W. J Opt Soc Am B 10 (1993) 1572
20. Chen Y. Phys Rev E 57 (1998) 3542
21. Chen Y., and Atai J. Opt Commun 150 (1998) 381
22. Cowan S., Enns R.H., Rangnekar S.S., and Sanghera S. Can J Phys 64 (1986) 311
23. Gatz S., and Hermann J. IEEE J Quantum Electron 28 (1992) 1732
24. Kuznetsov E.A., Rubenchik A.M., and Zakharov V.E. Phys Rep 142 (1986) 103
25. Boyd R.W. Nonlinear optics (1992), Academic Press, San Diego (CA)
26. Akhmediev N.N., and Ankiewicz A. Solitons nonlinear pulses and beams (1997), Chapman and Hall, London
27. Landau L.D., and Lifshitz E.M. Electrodynamics of continuous media (1960), Pergaman, Oxford
28. Pushkarov D., and Tanev S. Opt Commun 124 (1996) 354
29. Agrawal G.P. Nonlinear fiber optics (1995), Academic Press, New York
30. Hasegawa A., and Kodama Y. Solitons in optical communications (1995), Clarendon Press, Oxford
31. Arnold J.M. Phys Rev E 60 (1999) 979