Hamiltonian Structures for the Ostrovsky-Vakhnenko Equation

Details Hamiltonian Structures for the Ostrovsky-Vakhnenko Equation Hamiltonian Structures for the Ostrovsky-Vakhnenko Equation

2012-02-23

arxiv.org/abs/1202.5129v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages

Scientific paper

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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