Vortex solutions of the discrete Gross-Pitaevskii equation starting from the anti-continuum limit

DOI10.1016/j.physd.2008.10.001zbMath1167.82324OpenAlexW1986852274MaRDI QIDQ833241

Kody J. H. Law, Panayotis G. Kevrekidis, Guillaume James, Jesús Cuevas

Publication date: 12 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.physd.2008.10.001

zbMATH Keywords

stabilityexistencevorticesDNLS equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (4)

Nonlinear phenomena in degenerate quantum gases ⋮ Dark-bright discrete solitons: a numerical study of existence, stability and dynamics ⋮ Rotating wave solutions to lattice dynamical systems I: the anti-continuum limit ⋮ Vortex pairs in the discrete nonlinear Schrödinger equation

Cites Work

• Emergent nonlinear phenomena in Bose-Einstein condensates. Theory and experiment
• Finite size effects on instabilities of discrete breathers
• Discrete vector on-site vortices
• Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Padé approximations of solitary wave solutions of the Gross–Pitaevskii equation
• VORTICES IN BOSE–EINSTEIN CONDENSATES: SOME RECENT DEVELOPMENTS
• The principle of minimized iterations in the solution of the matrix eigenvalue problem
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