Motions in a Bose condensate: X. New results on the stability of axisymmetric solitary waves of the Gross–Pitaevskii equation

DOI10.1088/0305-4470/37/47/003zbMath1062.82055arXivcond-mat/0407482OpenAlexW2132147622MaRDI QIDQ4659962

Publication date: 21 March 2005

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0407482

Mathematics Subject Classification ID

Statistical mechanics of superfluids (82D50) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (9)

Invariant manifolds of traveling waves of the 3D Gross-Pitaevskii equation in the energy space ⋮ Stability of traveling waves of nonlinear Schrödinger equation with nonzero condition at infinity ⋮ Smooth branch of rarefaction pulses for the nonlinear Schrödinger equation and the Euler-Korteweg system in 2d ⋮ Modeling quantum fluid dynamics at nonzero temperatures ⋮ The KP limit of a reduced quantum Euler–Poisson equation ⋮ Rarefaction pulses for the nonlinear Schrödinger equation in the transonic limit ⋮ Error bounds for the (KdV)/(KP-I) and (gKdV)/(gKP-I) asymptotic regime for nonlinear Schrödinger type equations ⋮ Travelling waves for the nonlinear Schrödinger equation with general nonlinearity in dimension two ⋮ Nondegeneracy, Morse index and orbital stability of the KP-I lump solution

Uses Software

ARPACK

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