| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 766936 | Communications in Nonlinear Science and Numerical Simulation | 2013 | 7 Pages |
Abstract
We obtain a bi-Hamiltonian formulation for the Ostrovsky–Vakhnenko (OV) 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.
► A fifth order Ostrovsky–Vakhnenko equation is shown to be related with the Caudrey–Dodd–Gibbon–Sawada–Kotera equation. ► The bi-Hamiltonian formulation for Ostrovsky–Vakhnenko equation is derived. ► The relation between Hamiltonian structures when dependent and independent variables are transformed is studied.
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Authors
J.C. Brunelli, S. Sakovich,