Excited states in the large density limit: a variational approach

DOI10.1088/0951-7715/23/8/001zbMath1197.35264arXiv0910.5249OpenAlexW3102272456MaRDI QIDQ3584752

Dmitry E. Pelinovsky, Matt Coles, Panayotis G. Kevrekidis

Publication date: 30 August 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.5249

zbMATH Keywords

Bose-Einstein condensatesGross-Pitaevskii equationNewton-Raphson iterationdark solitons

Mathematics Subject Classification ID

Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Theoretical approximation in context of PDEs (35A35) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Soliton solutions (35C08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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