Abstract

By solving analytically two 1D coupled Gross–Pitaevskii equations with a time-dependent harmonic trap, we find Peregrine solutions that can be effectively controlled by modulating the external potential frequency. Indeed, one observes the onset of instability in the dynamical system as the frequency is varied. This leads to the possibility of stabilizing the Peregrine solitons.

中文翻译：

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带有外部势的两个Gross-Pitaevskii方程对呼吸的游廊孤子管理

摘要

通过解析两个一维耦合的Gross–Pitaevskii方程和一个与时间相关的谐波陷阱，我们发现可以通过调制外部电势频率来有效控制百富勤解决方案。确实，人们观察到动态系统随着频率变化而开始不稳定。这导致稳定百富勤孤子的可能性。