On the water-bag model of dispersionless KP hierarchy

Abstract

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

arXiv comment19 pages

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Cited by in corpus (4)

• On the water-bag model of dispersionless KP hierarchy (II)
• Symmetries of F-manifolds with eventual identities and special families of connections
• Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations
• Old and New Reductions of Dispersionless Toda Hierarchy