Integrable systems associated to curves in flat Galilean and Minkowski spaces

DOI10.1080/00036810903397487zbMath1218.37095OpenAlexW2121347944WikidataQ58148855 ScholiaQ58148855MaRDI QIDQ3558509

Shane A. Squires, Gloria Marí Beffa

Publication date: 5 May 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903397487

zbMATH Keywords

integrable systemsLorentz manifoldsflat Galilean and Minkowski spaces

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Differential invariants (local theory), geometric objects (53A55)

Related Items (1)

Moving frames, geometric Poisson brackets and the KdV-Schwarzian evolution of pure spinors

Cites Work

• The moving frame, differential invariants and rigidity theorems for curves in homogeneous spaces
• Moving coframes. II: Regularization and theoretical foundations
• Moving coframes. I: A practical algorithm
• Integrable equations arising from motions of plane curves. II.
• Integrable systems in three-dimensional Riemannian geometry.
• Bi-Hamiltonian operators, integrable flows of curves using moving frames and geometric map equations
• A simple model of the integrable Hamiltonian equation
• A soliton on a vortex filament
• Poisson geometry of differential invariants of curves in some nonsemisimple homogeneous spaces
• Integrable equations arising from motions of plane curves

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