Perturbation of solitons due to power law nonlinearity

Chaos, solitons and fractals

Volumn 12, Issue 3, 2001, Pages 579-588

  Biswas, Anjan ^a  

^a Valley City State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

GENERALIZED NONLINEAR SCHRODINGER EQUATIONS (GNLSE);

SOLITONS;

EID: 0035153389     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(00)00006-0     Document Type: Article

References (10)

1. Abdullaev F, Darmanyan S, Khabibullaev P. Optical solitons. Berlin: Springer; 1993.
2. Ablowitz MJ, Segur H. Solitons and the inverse scattering transform. Philadelphia, PA: SIAM; 1981.
3. Akhmediev NN, Ankiewicz A. Solitons nonlinear pulses and beams. London: Chapman & Hall; 1997.
4. Biswas A. Analysis of the perturbed nonlinear Schrödinger's equation. Mathematical and numerical aspects of wave propagation. Philadelphia, PA: SIAM; 1998:694-97.
5. Grikurov VE. Perturbation of instable solitons for generalized NLS with saturating nonlinearity. Proc Day Diffraction 1997;97:170-8.
6. Hasegawa A, Kodama Y. Solitons in optical communications. Oxford: Oxford University Press; 1995.
7. Kaup D.J. Perturbation theory for solitons in optical fibers. Phys Rev A. 42(9):1990;5689-5694.
8. Mihalacke D., Bertolotti M., Cibilia C. Nonlinear wave propagation in planar structures. Progress Optics. XXVII:1989;228-309.
9. Snyder A.W., Mitchell D.J. Spatial solitons of the power-law nonlinearity. Opt Lett. 18(2):1993;101-103.
10. Yang J, Kaup DJ. Solitary waves in perturbed generalized nonlinear Schrödinger's equations. SIAM J Appl Math, 2000;60(3):967-89.