On complete integrability of the Mikhailov–Novikov–Wang system

Source abstract

In the present paper we consider a new two-component fifth-order integrable system recently found by Mikhailov, Novikov, and Wang, 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.