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Brief Communications

Two-Component Generalizations of the Camassa–Holm Equation

P. A. Kuzmin

M. V. Lomonosov Moscow State University

Keywords: Camassa–Holm equation, bi-Hamiltonian system, group of diffeomorphisms of the circle, coadjoint orbit, Virasoro cocycle, Lie–Poisson structure.

Received: 12.04.2006

DOI: 10.4213/mzm3528

 English version: Mathematical Notes, 2007, 81:1, 130–134

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