Rotating 2N-vortex solutions to the Gross-Pitaevskii equation on S2

DOI10.1063/1.4739748zbMath1278.35228OpenAlexW2076134838MaRDI QIDQ2872227

Peter Sternberg, Michael Gelantalis

Publication date: 14 January 2014

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

Full work available at URL: https://doi.org/10.1063/1.4739748

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Statistical mechanics of superfluids (82D50) Lasers, masers, optical bistability, nonlinear optics (78A60) Variational principles of physics (49S05)

Related Items (5)

Periodic orbits of Gross-Pitaevskii in the disc with vortices following point vortex flow ⋮ Global continua of periodic solutions of singular first-order Hamiltonian systems of \(N\)-vortex type ⋮ Dynamics of Ginzburg-Landau and Gross-Pitaevskii vortices on manifolds ⋮ The generalized point-vortex problem and rotating solutions to the Gross-Pitaevskii equation on surfaces of revolution ⋮ Periodic solutions for the N-vortex problem via a superposition principle

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