Degenerate bi-Hamiltonian Poisson brackets of the hydrodynamic type are studied. They are bi-Hamiltonian structures of certain dispersionless rational Lax equations and are related to the notion of a degenerate Frobenius manifold.
机构:
Loughborough Univ Technol, Dept Math Sci, Loughborough LE11 3TU, Leics, EnglandUniv Milano Bicocca, Dipartimento Matemat & Applicaz, Via Roberto Cozzi 53, I-20125 Milan, Italy
Savoldi, A.
Vitolo, R.
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机构:
Univ Salento, Dipartimento Matemat & Fis E De Giorgi, Via Arnesano, I-73100 Lecce, Italy
Sez INFN Lecce, I-73100 Lecce, ItalyUniv Milano Bicocca, Dipartimento Matemat & Applicaz, Via Roberto Cozzi 53, I-20125 Milan, Italy