Infinite-Hamiltonian Structures of the Riemann Equation

Authors : Refik TURHAN

Pages : 445-450

Doi:10.3906/zoo-1209-14

View : 15 | Download : 10

Publication Date : 0000-00-00

Article Type : Research Paper

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