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arXiv · 2003.01865

New dynamics of the classical and nonlocal Gross-Pitaevskii equation with a parabolic potential

Shi-min Liu·Hua Wu·Da-jun Zhang
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Abstract

Solutions of the classical and nonlocal Gross-Pitaevskii (GP) equation with a parabolic potential and a gain term are derived by using a second order nonisospectral Ablowitz-Kaup-Newell-Segur system and reduction technique of double Wronskians. Solutions of the classical GP equation show typical space-time localized characteristics. An interesting dynamics, solitons carrying an oscillating wave, are found with mathematical analysis and illustrations. Solutions of some nonlocal cases are also illustrated.

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Shi-min Liu, Hua Wu, Da-jun Zhang. 2020-03-04. New dynamics of the classical and nonlocal Gross-Pitaevskii equation with a parabolic potential. https://doi.org/10.1016/s0034-4877(20)30083-5

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