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.

19 pages

References in corpus (1)

• Quasi-Frobenius algebras and their integrable N-parametric deformations generated by compatible (N x N)-metrics of constant Riemannian curvature

Cited by in corpus (2)

• On the water-bag model of dispersionless KP hierarchy (II)
• Old and New Reductions of Dispersionless Toda Hierarchy