Completely integrable systems: Jacobi's heritage

DOI10.1016/S0393-0440(99)00015-7zbMath0937.37046MaRDI QIDQ1125219

Ahmed Lesfari

Publication date: 8 June 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Lie groupsintegrable systemsLie algebraToda latticeKorteweg-de Vries equationcompletely integrable systemscoadjoint actionalgebraic phase spaceEuler rigid body motionKowalewski's topManakov's geodesic 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) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (7)

Study of stationary Schrödinger equations and integrals of Gelfand-Levitan and Korteweg-de-Vries equations. Solitons and the inverse scattering method. ⋮ Integrable systems and complex geometry ⋮ Prym varieties and applications ⋮ The generalized Hénon-Heiles system, abelian surfaces and algebraic complete integrability ⋮ Completely integrable Hamiltonian systems ⋮ A Connection Between Geometry and Dynamical Systems ⋮ The Kowalevski top as a reduction of a Hamiltonian system on $\mathfrak {sp}(4, \mathbb {R})^*$

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