Turkish Journal of Physics
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.
Keywords
Integrability, multi-Hamiltonian structures, Riemann equation.
First Page
445
Last Page
450
Recommended Citation
TURHAN, REFİK (2006) "Infinite-Hamiltonian Structures of the Riemann Equation," Turkish Journal of Physics: Vol. 30: No. 5, Article 9. Available at: https://journals.tubitak.gov.tr/physics/vol30/iss5/9
