Averaged dynamics of optical pulses described by a nonlinear Schrödinger equation with periodic coefficients

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

Volumn 68, Issue 4 2, 2003, Pages 466101-4661011

  Wingen, Andreas ^a   Spatschek, Karl H ^a   Medvedev, Serguei B ^a,b  

^a HEINRICH HEINE UNIVERSITY   (Germany)

^b INSTITUTE OF COMPUTATIONAL TECHNOLOGIES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLIFICATION; APPROXIMATION THEORY; ASYMPTOTIC STABILITY; DAMPING; ELECTROMAGNETIC DISPERSION; ELECTROMAGNETIC WAVE PROPAGATION; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; SOLITONS; STATISTICAL METHODS; WAVE EQUATIONS;

AVERAGING METHODS;

NONLINEAR OPTICS;

EID: 0346304864     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. G.P. Agrawal, Nonlinear Fiber Optics (Academic Press, New York, 1989).
2. A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Clarendon Press, Oxford, 1995).
3. A. Hasegawa and Y. Kodama, Opt. Lett. 16, 1385 (1991).
4. I. Gabitov, T. Schäfer, and S.K. Turitsyn, Phys. Lett. A 265, 274 (2000).
5. Y. Kodama, Massive WDM and TDM Soliton Transmission Systems (Kluwer Academic, Dordrecht, MA, 2000), p. 129.
6. T.-S. Yang and W.L. Kath, Opt. Lett. 22, 985 (1997).
7. T.-S. Yang, W.L. Kath, and S.K. Turitsyn, Opt. Lett. 23, 597 (1998).
8. T. Yang, W.L. Kath, and S.K. Turitsyn, J. Eng. Math. 36, 163 (1999).
9. M.J. Ablowitz and G. Biondini, Opt. Lett. 23, 1668 (1998).
10. I. Gabitov and S.K. Turitsyn, Pis'ma Zh. Eksp. Teor. Fiz. 63, 814 (1996) [JETP Lett. 63, 861 (1996)].
11. I. Gabitov and S.K. Turitsyn, Pis'ma Zh. Eksp. Teor. Fiz. 63, 814 (1996) [JETP Lett. 63, 861 (1996)].
12. K.H. Spatschek, S.K. Turitsyn, and Y.S. Kivshar, Phys. Lett. A 204, 269 (1995).
13. D.E. Pelinovsky and V. Zharnitsky, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 63, 745 (2003).
14. N.N. Bogoliubov and Y.A. Mitropolski, Asymptotic Methods in the Theory of Nonlinear Oscillations (Gordon and Breach, New York, 1961).
15. J.A. Sanders and F. Verhulst, Averaging Methods in Nonlinear Dynamical Systems (Springer, New York, 1985).
16. P.L. Lushnikov, Opt. Lett. 25, 1144 (2000).
17. S.B. Medvedev, O.V. Styrina, S.L. Musher, and M.P. Fedoruk, Phys. Rev. E 66, 066607 (2002).
18. S.K. Turitsyn, T. Schäfer, K.H. Spatschek, and V.K. Mezentsev, Opt. Commun. 163, 122 (1999).
19. S.B. Medvedev and S.K. Turitsyn, Pis'ma Zh. Eksp. Teor. Fiz. 69, 465 (1999) [JETP Lett. 69, 499 (1999)].
20. S.B. Medvedev and S.K. Turitsyn, Pis'ma Zh. Eksp. Teor. Fiz. 69, 465 (1999) [JETP Lett. 69, 499 (1999)].
21. S.K. Turitsyn, E.G. Turitsyna, S.B. Medvedev, and M.P. Fedoruk, Phys. Rev. E 61, 3127 (2000).