On complete integrability of the Mikhailov-Novikov-Wang system

Details On complete integrability of the Mikhailov-Novikov-Wang system On complete integrability of the Mikhailov-Novikov-Wang system

2010-05-12

arxiv.org/abs/1005.2160v4

Nonlinear Sciences

Exactly Solvable and Integrable Systems

5 pages, no figures

Scientific paper

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.

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