On bi-Hamiltonian structure of two-component Novikov equation

In this Letter, we present a bi-Hamiltonian structure for the two-component Novikov equation. We also show that proper reduction of this bi-Hamiltonian structure leads to the Hamiltonian operators found by Hone and Wang for the Novikov equation.

► A bi-Hamiltonian structure is constructed for a two-component Novikov equation.
► The complete proof is given for Jacobi properties and compatibilty of the relevant operators.
► A reduction is considred for the Hamiltonian structures.