Infinite-Hamiltonian Structures of the Riemann Equation
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.
- Publication:
-
Turkish Journal of Physics
- Pub Date:
- September 2006
- DOI:
- 10.48550/arXiv.nlin/0512071
- arXiv:
- arXiv:nlin/0512071
- Bibcode:
- 2006TJPh...30..445T
- Keywords:
-
- Integrability;
- multi-Hamiltonian structures;
- Riemann equation.;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 9 pages, Revtex4