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

Infinite-Hamiltonian Structures of the Riemann Equation

Sayfa
445–450
DOI
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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.

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.

Anahtar kelimeler: Integrability, multi-Hamiltonian structures, Riemann equation.