Class of Nonlinearity Control Parameter for Bright Solitons of Non-Autonomous NLSE With Trapping Potential

Author

Gupta, Rama ; Loomba, Shally ; Kumar, Choragudi Nagaraja

Author_Institution

Dept. of Phys., Panjab Univ., Chandigarh, India

Volume

48

Issue

7

fYear

2012

fDate

7/1/2012 12:00:00 AM

Firstpage

847

Lastpage

851

Abstract

We have obtained the family of exact soliton solutions, of the non-autonomous nonlinear Schrödinger equation with the harmonic trap, by invoking the isospectral deformation technique, which describe the propagation of bright solitons in the 1-D Bose-Einstein condensate confined by a harmonic potential with a varying-in-time longitudinal trapping frequency. This generalization also enables one to analytically study the effect of the nonlinearity control parameter in managing the amplitude and width of the soliton profile.

Keywords

Bose-Einstein condensation; Schrodinger equation; light propagation; optical control; optical solitons; radiation pressure; 1D Bose-Einstein condensate; bright soliton propagation; exact soliton solutions; generalization; harmonic potential; harmonic trap; isospectral deformation technique; nonautonomous NLSE; nonautonomous nonlinear Schrodinger equation; nonlinearity control parameter; soliton profile; trapping potential; varying-in-time longitudinal trapping frequency; Charge carrier processes; Dispersion; Equations; Harmonic analysis; Mathematical model; Solitons; Isospectral Hamiltonian approach; non-autonomous solitons; time varying nonlinearity control function;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/JQE.2012.2192716

Filename

6176190