On Lax equations arising from Lagrangian foliations

DOI10.1007/BF00420037zbMath0526.58018OpenAlexW1981927215MaRDI QIDQ594448

José F. Cariñena, Luis A. Ibort

Publication date: 1984

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00420037

zbMATH Keywords

inverse scattering methodLax representationsLagrangian dynamical systempartial connection

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Related Items

A generalization of the Lax equation ⋮ Compatibility of symplectic structures adapted to noncommutatively integrable systems ⋮ Bi-Lagrangian connections and the reduction of Lax equations ⋮ Lagrangian foliations and Lax equations

Cites Work

• Completely integrable systems, Euclidean Lie algebras, and curves
• Symplectic manifolds and their Lagrangian submanifolds
• Non-Noether constants of motion
• Introduction to the Geometry of Foliations, Part A
• Hamiltonian group actions and dynamical systems of calogero type
• Integrals of nonlinear equations of evolution and solitary waves
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