Infinite-Hamiltonian Structures of the Riemann Equation


Abstract: We give two distinct infinite-Hamiltonian representations for the Riemann equation. One with first order Hamiltonian operators and another with third order-first order Hamiltonian operators. Both representations contain an arbitrary function of the dynamical variable. We prove that all the Hamiltonian operators of the Riemann equation are mutually compatible.

Keywords: Integrability, multi-Hamiltonian structures, Riemann equation.

Full Text: PDF