Completely integrable curve flows on adjoint orbits

DOI10.1007/BF03322713zbMath1023.37041arXivmath/0108154MaRDI QIDQ5954159

Chun-Lian Terng, Gudlaugur Thorbergsson

Publication date: 19 November 2003

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0108154

zbMATH Keywords

Bäcklund transformationssoliton equationsadjoint orbitsHamiltonian structuresintegrable geometric curve flows

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 topology, geometry and differential geometry (37K25) Differential geometry of symmetric spaces (53C35)

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Cites Work

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• Integralrelationen Mathieuscher Funktionen. (Integral relation of Mathieu function)
• Hamiltonian Hierarchies on Semisimple Lie Algebras
• Bäcklund transformations and loop group actions
• THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD

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