超冷玻色海洋中的浪涛
Rogue Waves in Ultracold Bosonic Seas
摘要：
在这项工作中，我们数值地考虑在超冷玻色子气体物理中产生的非线性薛定谔（NLS）型模型的初值问题，具有一般的高斯波包初始数据。相应的高斯宽度以及在相关的情况下其振幅用作控制参数。首先，我们探讨了一维，标准的NLS方程与一般的幂律非线性，其中大振幅的激发，让人想起的游隼孤子或定期孤子出现的形式，作为相关的高斯的宽度是不同的。此外，非线性指数的变化旨在第一次瞥见流氓或孤子形成和崩溃功能之间的相互作用。的鲁棒性的主要功能，在初始数据中的噪声也得到了证实。为了更好地将我们的研究与原子凝聚体物理学联系起来，并探索维度效应的作用，我们还考虑了非多项式薛定谔方程（NPSE），以及全三维NLS方程，并检查相关考虑的推广程度。
英文摘要：
In this work, we numerically consider the initial value problem for nonlinear Schrödinger (NLS) type models arising in the physics of ultracold boson gases, with generic Gaussian wavepacket initial data. The corresponding Gaussian's width and, wherever relevant also its amplitude, serve as control parameters. First we explore the one-dimensional, standard NLS equation with general power law nonlinearity, in which large amplitude excitations reminiscent of Peregrine solitons or regular solitons appear to form, as the width of the relevant Gaussian is varied. Furthermore, the variation of the nonlinearity exponent aims at a first glimpse of the interplay between rogue or soliton formation and collapse features. The robustness of the main features to noise in the initial data is also confirmed. To better connect our study with the physics of atomic condensates, and explore the role of dimensionality effects, we also consider the nonpolynomial Schrödinger equation (NPSE), as well as the full three-dimensional NLS equation, and examine the degree to which relevant considerations generalize.
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