Schrödinger flow of maps into symplectic manifolds
From MaRDI portal
Publication:1267234
DOI10.1007/BF02901957zbMath0918.53017OpenAlexW2028865453MaRDI QIDQ1267234
Publication date: 10 August 1999
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02901957
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Dynamical systems with hyperbolic behavior (37D99)
Related Items (59)
The sine-Gordon regime of the Landau-Lifshitz equation with a strong easy-plane anisotropy ⋮ Schrödinger flows, binormal motion for curves and the second AKNS-hierarchies ⋮ GLOBAL INHOMOGENEOUS SCHRÖDINGER FLOW ⋮ The almost complex (para-complex) structures on 6-pseudo-Riemannian spheres and related Schrödinger flows ⋮ Special periodic solutions of Schrödinger flow ⋮ Recent results for the Landau-Lifshitz equation ⋮ Stability of solitons of the Landau-Lifshitz equation with planar anisotropy ⋮ Global weak solutions to Landau-Lifshitz equations into compact Lie algebras ⋮ Equivariant Schrödinger map flow on two dimensional hyperbolic space ⋮ Very regular solution to Landau-Lifshitz-Gilbert system with spin-polarized transport ⋮ Schrödinger flows on compact Hermitian symmetric spaces and related problems ⋮ Solitons for the coupled matrix nonlinear Schrödinger-type equations and the related Schrödinger flow ⋮ Gauss map of the skew mean curvature flow ⋮ Existence and uniqueness of local regular solution to the Schrödinger flow from a bounded domain in \(\mathbb{R}^3\) into \(\mathbb{S}^2\) ⋮ Geometric Schrödinger-Airy flows on Kähler manifolds ⋮ Existence and uniqueness of weak solutions to the Landau–Lifshitz equation for large ferromagnetic bodies ⋮ New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ02 ⋮ A blowup criterion for nonhomogeneous incompressible Navier–Stokes–Landau–Lifshitz system in 2‐D ⋮ A motion of spacelike curves in the Minkowski 3-space and the KdV equation ⋮ Smooth local solutions to Schrödinger flows with damping term for maps into symplectic manifolds ⋮ The Landau--Lifshitz Equation of the Ferromagnetic Spin Chain and Oseen--Frank Flow ⋮ The Cauchy problem of generalized Landau-Lifshitz equation into \(S ^{n }\) ⋮ Geometric magnetic phase for timelike spherical optical ferromagnetic model ⋮ The fractional Landau-Lifshitz-Gilbert equation and the heat flow of harmonic maps ⋮ The almost complex structure on 𝕊6 and related Schrödinger flows ⋮ Global smooth solution to the incompressible Navier-Stokes-Landau-Lifshitz equations ⋮ Skew mean curvature flow ⋮ Stability in the energy space for chains of solitons of the Landau-Lifshitz equation ⋮ New geometric flows on Riemannian manifolds and applications to Schrödinger-Airy flows ⋮ Vortex filament on symmetric Lie algebras and generalized bi-Schrödinger flows ⋮ Vortex structures for some geometric flows from pseudo-Euclidean spaces ⋮ Geometric solitons of Hamiltonian flows on manifolds ⋮ Asymptotic stability of harmonic maps under the Schrödinger flow ⋮ The cubic Schrödinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy ⋮ Blow-up solutions of inhomogeneous nonlinear Schrödinger equations ⋮ Blow up solutions of inhomogeneous nonlinear Schrödinger equations on torus ⋮ Local nonautonomous Schrödinger flows on Kähler manifolds ⋮ Local existence and uniqueness of Navier-Stokes-Schrödinger system ⋮ Traveling vortex helices for Schrödinger map equations ⋮ Periodic solutions of inhomogeneous Schrödinger flows into 2-sphere ⋮ A note on the NLS and the Schrödinger flow of maps ⋮ On the vortex filament in 3-spaces and its generalizations ⋮ Higher-order geometric flow of hypersurfaces in a Riemannian manifold ⋮ Self-similar solutions of Schrödinger flows ⋮ Local existence and uniqueness of skew mean curvature flow ⋮ The complex 2-sphere in \(\mathbb{C}^3\) and Schrödinger flows ⋮ GEOMETRIC KdV FLOWS, MOTIONS OF CURVES AND THE THIRD-ORDER SYSTEM OF THE AKNS HIERARCHY ⋮ KdV GEOMETRIC FLOWS ON KÄHLER MANIFOLDS ⋮ Soliton propagation of electromagnetic field vectors of polarized light ray traveling in a coiled optical fiber in the ordinary space ⋮ Global Well-Posedness and Scattering for Derivative Schrödinger Equation ⋮ Uniqueness Of 1D generalized bi-Schrödinger flow ⋮ A blowup criterion to the strong solution to the multi-dimensional Landau-Lifshitz-Gilbert equation ⋮ Local existence of a fourth-order dispersive curve flow on locally Hermitian symmetric spaces and its application ⋮ Global well-posedness and scattering for the derivative nonlinear Schrödinger equation with small rough data ⋮ Fractal solutions of linear and nonlinear dispersive partial differential equations ⋮ The KdV curve and Schrödinger-Airy curve ⋮ Local existence for inhomogeneous Schrödinger flow into Kähler manifolds ⋮ An Approximation Scheme for Schrödinger Maps ⋮ Local Schrödinger flow into Kähler manifolds
Cites Work
- Small solutions to nonlinear Schrödinger equations
- Quasilinear parabolic systems under nonlinear boundary conditions
- Existence and uniqueness of smooth solution for system of ferromagnetic chain
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Exponential sums and nonlinear Schrödinger equations
This page was built for publication: Schrödinger flow of maps into symplectic manifolds
