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On a Recently Introduced Fifth-Order Bi-Hamiltonian Equation and Trivially Related Hamiltonian Opera

SIGMA 7 (2011), 081, 8 pages      arXiv:1104.4034     
http://dx.doi.org/10.3842/SIGMA.2011.081
On a Recently Introduced Fifth-Order Bi-Hamiltonian Equation and Trivially Related Hamiltonian Operators
Daryoush Talati and Refik Turhan
Department of Engineering Physics, Ankara University 06100 Tandogan Ankara, Turkey

Received April 25, 2011, in final form August 18, 2011; Published online August 20, 2011
Abstract
We show that a recently introduced fifth-order bi-Hamiltonian equation
with a differentially constrained arbitrary function by A. de Sole, V.G.
Kac and M. Wakimoto is not a new one but a higher symmetry of a
third-order equation. We give an exhaustive list of cases of the
arbitrary function in this equation, in each of which the associated
equation is inequivalent
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On a Recently Introduced Fifth-Order Bi-Hamiltonian Equation and Trivially Related Hamiltonian Opera

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