Journals / Turkish Journal of Physics / 2006 / Cilt: 30 - Sayı: 5

Infinite-Hamiltonian Structures of the Riemann Equation

Pages
445–450
DOI
—

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.

Özet

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.