Solitons in magneto-optic waveguides

Applied Mathematics and Computation

Volumn 153, Issue 2, 2004, Pages 387-393

  Biswas, Anjan ^a  

^a TENNESSEE STATE UNIVERSITY   (United States)

Author keywords

Non Kerr law; Soliton perturbation

Indexed keywords

DIFFERENTIAL EQUATIONS; DISPERSIONS; FLUID DYNAMICS; FOURIER TRANSFORMS; HAMILTONIANS; MAGNETOOPTICAL EFFECTS; MODULATORS; NONLINEAR EQUATIONS; OPTICAL WAVEGUIDES; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; PLASMAS; PROTEINS; SCATTERING;

LONLINEAR PARABOLIC EQUATION; NON-KERR LAW; SOLITON PERTUBRATION;

SOLITONS;

EID: 2642529486     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00639-8     Document Type: Article

References (20)

1. Ablowitz M.J., Segur H. Solitons and the Inverse Scattering Transform. 1981;SIAM, Philadelphia, USA.
2. Akhmediev N.N., Ankiewicz A. Solitons Nonlinear Pulses and Beams. 1997;Chapman and Hall, UK.
3. Akhmediev N.N., Ankiewicz A., Grimshaw R. Hamiltonian-versus-energy diagrams in soliton theory. Physical Review E. 59(5):1999;6088-6096.
4. Akhmediev N.N. Spatial solitons in Kerr and Kerr-like media. Optical and Quantum Electronics. 30:1998;535-569.
5. Biswas A. Perturbation of solitons due to power law nonlinearity. Chaos, Solitons and Fractals. 12(3):2001;579-588.
6. Biswas A. Perturbation of solitons with non-Kerr law nonlinearity. Chaos, Solitons and Fractals. 13(4):2002;815-823.
7. Busalev V.S., Grikurov V.E. Simulation of instability of bright solitons for NLS with saturating nonlinearity. Mathematics and Computers in Simulation. 56(6):2001;539-546.
8. Fukushima K., Wadati M., Narahara Y. Envelope soliton in a new nonlinear transmission line. Journal of the Physical Society of Japan. 49(4):1980;1593-1597.
9. Infield E., Rowlands G. Nonlinear Waves, Solitons and Chaos. 1990;Cambridge University Press.
10. Jovanoski Z., Sammut R.A. Propagation of Gaussian beams in a nonlinear saturable medium. Physical Review E. 50(5):1994;4087-4093.
11. Karpman V.I., Shagalov A.G. Stability of solitons described the nonlinear Schrodinger-type equations with higher order dispersion. Physica D. 144(1-2):2000;194-210.
12. Kivshar Y.S. Bright and dark spatial solitons in non-Kerr media. Optical and Quantum Electronics. 30:1998;535-569.
13. Kivshar Y.S., Luther-Davis B. Dark optical solitons: physics and applications. Physics Reports. 298:1998;81-197.
14. Kivshar Y.S., Pelinovsky D.E. Self-focusing and transverse instabilities of solitary waves. Physics Reports. 331:2000;117-195.
15. Mihalache D., Mazilu D., Crasovan L.C., Malomed B.A., Lederer F. Three-dimensional spinning solitons in the cubic-quintic nonlinear medium. Physical Review E. 61(6):2000;7142-7145.
16. Moloney J.V. Nonlinear Optical Materials. 1998;Springer-Verlag, New York.
17. Pelinovsky D.E., Afanasjev V.V., Kivshar Y.S. Nonlinear theory of oscillating, decaying and collapsing solitons in the generalized nonlinear Schrodinger's equation. Physical Review E. 53(2):1996;1940-1953.
18. Snyder A.W., Mitchell D.J. Spatial solitons of the power-law nonlinearity. Optics Letters. 18(2):1993;101-103.
19. Sulem C., Sulem P.L. The Nonlinear Schrodinger's Equation. 1999;Springer-Verlag, New York.
20. Yang J., Kaup D.J. Stability and evolution of solitary waves in perturbed generalized nonlinear Schrodinger's equation. SIAM Journal of Applied Mathematics. 60(3):2000;967-989.