Construction of Modulated Amplitude Waves via Averaging in Collisionally Inhomogeneous Bose–Einstein Condensates

DOI10.1142/S1402925112500179zbMath1254.35209arXiv1104.0993OpenAlexW2015517046MaRDI QIDQ2905321

Qihuai Liu, Qian, Dingbian

Publication date: 27 August 2012

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0993

zbMATH Keywords

Gross-Pitaevskii equationsperiodic potentials

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Almost and pseudo-almost periodic solutions to PDEs (35B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Averaging method for ordinary differential equations (34C29) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Pattern formations in context of PDEs (35B36)

Related Items (4)

Periodic solutions of nonlinear differential systems by the method of averaging. ⋮ Dynamics of Bose-Einstein condensates: exact representation and topological classification of coherent matter waves ⋮ Modulated amplitude waves with non-trivial phase in quasi-1D inhomogeneous Bose-Einstein condensates ⋮ A good approximation of modulated amplitude waves in Bose-Einstein condensates

Cites Work

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• A perturbative analysis of modulated amplitude waves in Bose–Einstein condensates
• Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation

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