Localization phenomena in nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities: theory and applications to Bose-Einstein condensates

DOI10.1016/J.PHYSD.2008.08.020zbMath1167.82333arXiv0804.2730OpenAlexW1992405216MaRDI QIDQ833227

Víctor M. Pérez-García, Rosa Pardo San Gil

Publication date: 12 August 2009

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

Full work available at URL: https://arxiv.org/abs/0804.2730

zbMATH Keywords

localizationnonlinear Schrödinger equationsinhomogeneous interactions

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (6)

Nonlinear phenomena in degenerate quantum gases ⋮ Mass concentration behavior of Bose–Einstein condensates with attractive interactions in bounded domains ⋮ Asymptotic behavior of degenerate logistic equations ⋮ The finite difference scheme for nonlinear Schrödinger equations on unbounded domain by artificial boundary conditions ⋮ Localized Analytical Solutions and Parameters Analysis in the Nonlinear Dispersive Gross–Pitaevskii Mean‐Field GP (m,n) Model with Space‐Modulated Nonlinearity and Potential ⋮ Solitary waves in coupled nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities

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