Nonperiodic oscillation of bright solitons in the condensates with a periodically oscillating harmonic potential
Z. M. He, D. L. Wang, Y. C. She, and J. W. Ding

TL;DR
This paper investigates the dynamics of bright solitons in Bose-Einstein condensates under a periodically oscillating harmonic potential, revealing nonperiodic oscillations and controllable collisions depending on oscillation speed.
Contribution
It introduces the analysis of soliton behavior in oscillating potentials, highlighting the control of soliton collisions through oscillation frequency, which is a novel insight.
Findings
Nonperiodic oscillation of solitons under slow potential oscillation
Minimal effect of fast oscillating potential on soliton movement
Controllable head-on and chase collisions of solitons
Abstract
Considering a periodically oscillating harmonic potential, we explore the dynamics properties of bright solitons in a Bose-Einstein condensate. It is found that under a slower oscillating potential, soliton movement exhibits a nonperiodic oscillation while it is hardly affected under a fast oscillating potential. Furthermore, the head-on and/or "chase" collisions of two solitons have been obtained, which can be controlled by the oscillating frequency of potential.
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