Geometry of the Kaup-Newell equation

DOI10.1016/S0034-4877(02)80040-4zbMath1028.37045MaRDI QIDQ1809925

Partha Guha

Publication date: 15 January 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

diffeomorphismnonlinear Schrödinger equationBott-Virasoro groupgeodesic flowKdV equationEuler-Poincaré flowsimplectic operatorKaup-Newell equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

Related Items (5)

Optical solitons and other solutions to Kaup-Newell equation with Jacobi elliptic function expansion method ⋮ Euler-Poincaré flows and Leibniz structure of nonlinear reaction-diffusion type systems ⋮ Euler-Poincaré Formalism of (Two Component) Degasperis-Procesi and Holm-Staley type Systems ⋮ Explicit quasi-periodic solutions of the Kaup-Newell hierarchy ⋮ Projective and affine connections on \(S^{1}\) and integrable systems.

Cites Work

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• Integrable geodesic flows on the (super)extension of the Bott-Virasoro group
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