Integrable motions of curves in projective geometries
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Publication:974408
DOI10.1016/J.GEOMPHYS.2010.03.001zbMath1192.53011OpenAlexW2070341864MaRDI QIDQ974408
Shichang Shu, Yan-Yan Li, Chang-Zheng Qu
Publication date: 2 June 2010
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2010.03.001
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Curves in Euclidean and related spaces (53A04) Projective differential geometry (53A20)
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Cites Work
- Geometric realizations of bi-Hamiltonian completely integrable systems
- Geometric Hamiltonian structures on flat semisimple homogeneous manifolds
- Curve flows and solitonic hierarchies generated by Einstein metrics
- Hamiltonian evolution of curves in classical affine geometries
- Deformation of surfaces induced by motions of curves in higher-dimensional similarity geometries
- Remarks on KdV-type flows on star-shaped curves
- Poisson geometry of the filament equation
- Integrable equations arising from motions of plane curves. II.
- Motions of curves in similarity geometries and Burgers-mKdV hierarchies
- Integrable motions of space curves in affine geometry
- Integrable systems in three-dimensional Riemannian geometry.
- An elementary geometric characterization of the integrable motions of a curve
- Curve motion inducing modified Korteweg-de Vries systems
- Integrable motions of curves in \(S^{1} \times \mathbb R\)
- Group-invariant soliton equations and bi-Hamiltonian geometric curve flows in Riemannian symmetric spaces
- Hamiltonian flows of curves in \(G/\text{SO}(N)\) and vector soliton equations of mKdV and sine-Gordon type
- Motion of Curves in Hyperboloids in the Minkowski Space II
- The KdV Equation and Motion of Plane Curves
- Rigid body motions, space curves, prolongation structures, fiber bundles, and solitons
- Bi-Hamiltonian operators, integrable flows of curves using moving frames and geometric map equations
- Invariant submanifold flows
- The bi-Hamiltonian structure of some nonlinear fifth- and seventh-order differential equations and recursion formulas for their symmetries and conserved covariants
- Solitons on moving space curves
- On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schrödinger equations
- Motion of Curves in Hyperboloid in the Minkowski Space
- The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
- Integrability and the motion of curves
- Higher-Dimensional Integrable Systems Arising from Motions of Curves onS2(R) andS3(R)
- Motion of curves and surfaces and nonlinear evolution equations in (2+1) dimensions
- A soliton on a vortex filament
- Poisson geometry of differential invariants of curves in some nonsemisimple homogeneous spaces
- Completely integrable curve flows on adjoint orbits
- Integrable equations arising from motions of plane curves
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