Coupled Nonlinear Schrödinger Equations with a Gauge Potential: Existence and Blowup

DOI10.1111/sapm.12102zbMath1339.35284OpenAlexW2175277886MaRDI QIDQ2804360

M. S. Figueira, João-Paulo Dias, Vladimir V. Konotop

Publication date: 29 April 2016

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12102

zbMATH Keywords

Bose-Einstein condensatesnonlinear Schrödinger systemspin-orbit coupling

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Blow-up in context of PDEs (35B44)

Related Items (4)

Modulational instability in two-dimensional dissipative open Bose-Einstein condensates with mixed helicoidal and Rashba-Dresselhaus spin-orbit couplings ⋮ Spatiotemporal solitary modes in a twisted cylinder waveguide shell with the self-focusing Kerr nonlinearity ⋮ Two-dimensional composite solitons in Bose-Einstein condensates with spatially confined spin-orbit coupling ⋮ Coupled density-spin Bose-Einstein condensates dynamics and collapse in systems with quintic nonlinearity

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