Central affine curve flow on the plane

DOI10.1007/S11784-014-0161-8zbMath1317.37078arXiv1405.4046OpenAlexW2043142762MaRDI QIDQ457141

Zhiwei Wu, Chun-Lian Terng

Publication date: 26 September 2014

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4046

zbMATH Keywords

KdV equationintegrable curve flow

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (4)

Integrable systems and invariant curve flows in symplectic Grassmannian space ⋮ Self-Bäcklund curves in centroaffine geometry and Lamé’s equation ⋮ On centro-affine curves and Bäcklund transformations of the KdV equation ⋮ ON THE GEOMETRY OF STAR-SHAPED CURVES IN R<i>ⁿ</i>

Cites Work

• Unnamed Item
• Unnamed Item
• Integrable flows for starlike curves in centroaffine space
• The \(n \times n\) KdV hierarchy
• Remarks on KdV-type flows on star-shaped curves
• On the Bäcklund transformation for the Gel'fand-Dickey equations
• \(n\)-dimension central affine curve flows
• Hamiltonian flows on the space of star-shaped curves
• Factorization and the dressing method for the Gel'fand-Dikii hierarchy
• Multi-Hamiltonian structures on spaces of closed equicentroaffine plane curves associated to higher KdV flows
• The KdV Equation and Motion of Plane Curves
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Periodic solutions of the KdV equation
• A simple model of the integrable Hamiltonian equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• A new flow on starlike curves in $\mathbb {R}^3$
• Bäcklund transformations and loop group actions
• HAMILTONIAN FORMALISM FOR THE HIGHER KdV FLOWS ON THE SPACE OF CLOSED COMPLEX EQUICENTROAFFINE CURVES

This page was built for publication: Central affine curve flow on the plane