Special periodic solutions of Schrödinger flow

DOI10.1007/s00209-005-0922-6zbMath1105.37050OpenAlexW2016236591MaRDI QIDQ851012

Hao Yin, Wei-Yue Ding

Publication date: 9 November 2006

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-005-0922-6

zbMATH Keywords

energysymmetryKähler manifoldsRiemannian surfacesSchrödinger flowinequivalent periodic solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items (6)

Periodic solutions of Schrödinger flow from \(S^3\) to \(S^2\) ⋮ Schrödinger soliton from Lorentzian manifolds ⋮ Vortex structures for some geometric flows from pseudo-Euclidean spaces ⋮ Geometric solitons of Hamiltonian flows on manifolds ⋮ Local nonautonomous Schrödinger flows on Kähler manifolds ⋮ Periodic solutions of inhomogeneous Schrödinger flows into 2-sphere

Cites Work

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• The principle of symmetric criticality
• The existence of minimal immersions of 2-spheres
• Schrödinger flow of maps into symplectic manifolds
• Local Schrödinger flow into Kähler manifolds
• Bubbling location for \(f\)-harmonic maps and inhomogeneous Landau-Lifshitz equations
• HARMONIC MAPS FROM A CLOSED SURFACE OF HIGHER GENUS TO THE UNIT 2-SPHERE
• A Report on Harmonic Maps
• Harmonic maps with a prescribed potential
• Schrödinger maps
• Harmonic maps with potential

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