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We consider a system of effectively one dimensional cigar shaped Bose Einstein condensate. We present a numerical study for the existence and stability of travelling bright solitons in the time dependent nonlinear Schrodinger equation that describes the dynamics of Bose-Einstein ¨ condensate. Furthermore, the effects of strength of the trap on the stability of bright solitons are investigated when the condensate is placed under the influence of a trapping potential.

Muhammad Irfan Qadir, Aleen Ijaz Chaudhary. (2019) Stability of Bright Solitons in Bose-Einstein Condensate, Punjab University Journal of Mathematics, Volume 51, Issue 1.
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