The instabilities beyond modulational type in a repulsive Bose-Einstein condensate with a periodic potential

DOI10.1016/j.physd.2023.134009arXiv2305.00133OpenAlexW4389280497MaRDI QIDQ6118158

Panayotis G. Kevrekidis, Jinhua Li, Lei Liu, Wen-Rong Sun

Publication date: 23 February 2024

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.00133

zbMATH Keywords

Bose-Einstein condensatesmodulational instabilitydark localized eventshigh-frequency instabilityHill method

Mathematics Subject Classification ID

Special quantum systems, such as solvable systems (81Q80)

Cites Work

• Computing spectra of linear operators using the Floquet-Fourier-Hill method
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• The instability of periodic surface gravity waves
• The Defocusing Nonlinear Schrödinger Equation
• Dark solitons in atomic Bose–Einstein condensates: from theory to experiments
• Elliptic solutions of the defocusing NLS equation are stable
• The disintegration of wave trains on deep water Part 1. Theory
• High-frequency instabilities of Stokes waves
• Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensions

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