Vortex filament on symmetric Lie algebras and generalized bi-Schrödinger flows

DOI10.1007/s00209-017-2014-9zbMath1410.53064OpenAlexW2778141838MaRDI QIDQ667604

Qing Ding, You-De Wang

Publication date: 1 March 2019

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

Full work available at URL: https://doi.org/10.1007/s00209-017-2014-9

zbMATH Keywords

Lie algebramoving curvepara-Kähler structurebi-Schrödinger flow

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) Curves in Euclidean and related spaces (53A04)

Related Items

Solitons for the coupled matrix nonlinear Schrödinger-type equations and the related Schrödinger flow ⋮ On geometric realization of the general Manakov system ⋮ On the vortex filament in 3-spaces and its generalizations ⋮ The complex 2-sphere in \(\mathbb{C}^3\) and Schrödinger flows ⋮ Uniqueness Of 1D generalized bi-Schrödinger flow ⋮ Local existence of a fourth-order dispersive curve flow on locally Hermitian symmetric spaces and its application

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Fukumoto-Moffatt's model in the vortex filament and generalized bi-Schrödinger maps
• The noncommutative KdV equation and its para-Kähler structure
• Nonlinear Schrödinger equations and simple Lie algebras
• Schrödinger flow of maps into symplectic manifolds
• Integrable evolution equations on associative algebras
• Poisson geometry of the filament equation
• Geometric realizations of Fordy-Kulish nonlinear Schrödinger systems.
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Schrödinger flows, binormal motion for curves and the second AKNS-hierarchies
• A survey on paracomplex geometry
• Vortex density models for superconductivity and superfluidity
• An elementary geometric characterization of the integrable motions of a curve
• GEOMETRIC KdV FLOWS, MOTIONS OF CURVES AND THE THIRD-ORDER SYSTEM OF THE AKNS HIERARCHY
• KdV GEOMETRIC FLOWS ON KÄHLER MANIFOLDS
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Homogeneous para-Kähler Einstein manifolds
• Generalised KdV and MKdV equations associated with symmetric spaces
• A simple model of the integrable Hamiltonian equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocity
• The Gauge Equivalent Structure of the Landau–Lifshitz Equation and Its Applications^*
• The vortex filament in the Minkowski 3-space and generalized bi-Schrödinger maps
• Riemannian Geometry
• A Refined Well-Posedness for the Fourth-Order Nonlinear Schrödinger Equation Related to the Vortex Filament
• Progressive Deformation of a Curved Vortex Filament by its Own Induction
• Integrals of nonlinear equations of evolution and solitary waves
• A soliton on a vortex filament
• Three-dimensional distortions of a vortex filament with axial velocity
• Completely integrable curve flows on adjoint orbits