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.

DOI

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

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