Variational approximations of trapped vortices in the large-density limit

DOI10.1088/0951-7715/24/4/013zbMath1216.35145OpenAlexW2052527813MaRDI QIDQ2996883

Dmitry E. Pelinovsky, Panayotis G. Kevrekidis

Publication date: 4 May 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/24/4/013

zbMATH Keywords

Rayleigh-Ritz methodGross-Pitaevskii equationThomas-Fermi limit

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Bifurcations in context of PDEs (35B32) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

Related Items (7)

Multi-vortex crystal lattices in Bose–Einstein condensates with a rotating trap ⋮ Bifurcations of multi-vortex configurations in rotating Bose-Einstein condensates ⋮ Global bifurcation of vortex and dipole solutions in Bose-Einstein condensates ⋮ On the characterization of vortex configurations in the steady rotating Bose–Einstein condensates ⋮ Dynamics of Vortex Dipoles in Anisotropic Bose--Einstein Condensates ⋮ Numerical Study of Quantized Vortex Interactions in the Nonlinear Schrödinger Equation on Bounded Domains ⋮ The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit

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