On complete integrability of the Mikhailov-Novikov-Wang system
Exactly Solvable and Integrable Systems
2015-05-18 v4 Mathematical Physics
math.MP
Abstract
We obtain compatible Hamiltonian and symplectic structure for a new two-component fifth-order integrable system recently found by Mikhailov, Novikov and Wang (arXiv:0712.1972), and show that this system possesses a hereditary recursion operator and infinitely many commuting symmetries and conservation laws, as well as infinitely many compatible Hamiltonian and symplectic structures, and is therefore completely integrable. The system in question admits a reduction to the Kaup--Kupershmidt equation.
Keywords
Cite
@article{arxiv.1005.2160,
title = {On complete integrability of the Mikhailov-Novikov-Wang system},
author = {Petr Vojcak},
journal= {arXiv preprint arXiv:1005.2160},
year = {2015}
}
Comments
5 pages, no figures