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On the waterbag model of dispersionless KP hierarchy

Jen-Hsu Chang

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We investigate the bi-Hamiltonian structure of the waterbag model of dispersionless K (dKP) for the two-component case. One can establish the third- and first-order Hamiltonian operators associated with the waterbag model. Also, the dispersive corrections are discussed.


PACS

02.30.Ik Integrable systems

02.30.Jr Partial differential equations

MSC

37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)

Subjects

Mathematical physics

Dates

Issue 36 (8 September 2006)

Received 8 May 2006, in final form 17 July 2006

Published 18 August 2006



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