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

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3 Author(s)
Gupta, R. ; Dept. of Phys., Panjab Univ., Chandigarh, India ; Loomba, S. ; Kumar, C.N.

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.

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Quantum Electronics, IEEE Journal of  (Volume:48 ,  Issue: 7 )