Diffeomorphism, periodic KdV and C. Neumann system

DOI10.1016/S0926-2245(99)00034-0zbMath0963.37063OpenAlexW1981691229WikidataQ115337404 ScholiaQ115337404MaRDI QIDQ1974067

Partha Guha

Publication date: 8 July 2001

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(99)00034-0

zbMATH Keywords

diffeomorphismcoadjoint representationVirasoro-Bott group

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Applications of local differential geometry to the sciences (53B50)

Related Items (9)

Symmetry reductions and exact solutions of two new generalized negative KdV type equations ⋮ Geodesic flow on (super-) Bott–Virasoro group and Harry Dym family ⋮ Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit ⋮ SPACE OF HIGHER ORDER DIFFERENTIAL OPERATORS ON S¹ AND INTEGRABLE FLOWS ⋮ STABILIZER ORBIT OF VIRASORO ACTION AND INTEGRABLE SYSTEMS ⋮ Antiplectic structure, diffeomorphism and generalized KdV family ⋮ Geometry of the Kaup-Newell equation ⋮ Projective and affine connections on \(S^{1}\) and integrable systems. ⋮ Diffeomorphisms on S¹, projective structures and integrable systems

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