Hamiltonian Structures for the Ostrovsky-Vakhnenko Equation

Published 23 Feb 2012 in nlin.SI, math-ph, and math.MP | (1202.5129v1)

Abstract: We obtain a bi-Hamiltonian formulation for the Ostrovsky-Vakhnenko equation using its higher order symmetry and a new transformation to the Caudrey-Dodd-Gibbon-Sawada-Kotera equation. Central to this derivation is the relation between Hamiltonian structures when dependent and independent variables are transformed.

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