Two-component generalizations of the Camassa-Holm equation

DOI10.1134/S0001434607010142zbMath1128.37053OpenAlexW2367761785MaRDI QIDQ2460520

P. A. Kuz'min

Publication date: 12 November 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434607010142

zbMATH Keywords

coadjoint orbitsCamassa-Holm equationLie-Poisson structuregroup of diffeomorphisms of the circlebi-Hamiltonian systemVirasoro cocycle

Mathematics Subject Classification ID

Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65)

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Cites Work

• Deformations of semisimple bihamiltonian structures of hydrodynamic type
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Moduli spaces of curves and representation theory
• Extension of the Virasoro and Neveu-Schwarz algebras and generalized Sturm-Liouville operators
• A two-component generalization of the Camassa-Holm equation and its solutions
• On a Camassa–Holm type equation with two dependent variables
• On negative flows of the AKNS hierarchy and a class of deformations of a bihamiltonian structure of hydrodynamic type
• An integrable shallow water equation with peaked solitons

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