Title :
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
fDate :
7/1/2012 12:00:00 AM
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;
Journal_Title :
Quantum Electronics, IEEE Journal of
DOI :
10.1109/JQE.2012.2192716
