Rotating matter waves in Bose-Einstein condensates

DOI10.1016/j.physd.2007.06.012zbMath1124.35085OpenAlexW2152228412MaRDI QIDQ2383551

Todd Kapitula, R. Carretero-González, Panayotis G. Kevrekidis

Publication date: 19 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.physd.2007.06.012

zbMATH Keywords

stabilityexistencenonlinear Schrödinger equationvorticesLyapunov-Schmidt

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Statistical mechanics of superfluids (82D50) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (8)

Existence, stability, and dynamics of harmonically trapped one-dimensional multi-component solitary waves: The near-linear limit ⋮ Bifurcations of multi-vortex configurations in rotating Bose-Einstein condensates ⋮ Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation ⋮ On the characterization of vortex configurations in the steady rotating Bose–Einstein condensates ⋮ Disk-shaped Bose–Einstein condensates in the presence of an harmonic trap and an optical lattice ⋮ Hamiltonian Hopf bifurcations and dynamics of NLS/GP standing-wave modes ⋮ Existence, Stability and Nonlinear Dynamics of Vortices and Vortex Clusters in Anisotropic Bose-Einstein Condensates ⋮ Spots and stripes in nonlinear Schrödinger-type equations with nearly one-dimensional potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Instabilities of Multihump Vector Solitons in Coupled Nonlinear Schrödinger Equations
• Bose-Einstein condensates in the presence of a magnetic trap and optical lattice
• Linearized instability for nonlinear schrödinger and klein-gordon equations
• Exact nonstationary solutions to the mean-field equations of motion for two-component Bose–Einstein condensates in periodic potentials
• Three Is a Crowd: Solitary Waves in Photorefractive Media with Three Potential Wells
• Spectral Stability of Vortices in Two-Dimensional Bose–Einstein Condensates via the Evans Function and Krein Signature
• The Nonlinear Schrödinger Equation with a Strongly Anisotropic Harmonic Potential
• VORTICES IN BOSE–EINSTEIN CONDENSATES: SOME RECENT DEVELOPMENTS
• Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
• Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems

This page was built for publication: Rotating matter waves in Bose-Einstein condensates