Hamiltonian Structures for the Ostrovsky-Vakhnenko Equation

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.

13 pages

References in corpus (3)

• The short pulse equation is integrable
• A New Integrable Equation with Peakon Solutions
• On integrability of one third-order nonlinear evolution equation

Cited by in corpus (1)

• On The Complete Integrability Of The Ostrovsky-Vakhnenko Equation