Author： Popowicz Ziemowit
Publisher： Springer Publishing Company
ISSN： 0011-4626
Source： Czechoslovak Journal of Physics, Vol.56, Iss.10-11, 2006-11, pp. : 1263-1268
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Abstract
We present two different Hamiltonian extensions of the Degasperis-Procesi equation. The construction based on the observation that the second Hamiltonian operator of the Degasperis-Procesi equation could be considered as the Dirac reduced Poisson tensor of the second Hamiltonian operator of the Boussinesq equation. The first extension describes the interaction between Camassa-Holm and Degasperis-Procesi equation while the second gives us the two component generalization of the Degasperis-Procesi equation.
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