On the water-bag model of dispersionless KP hierarchy (II)
arXiv:nlin/0702014 · doi:10.1088/1751-8113/40/43/009
Abstract
We construct the bi-Hamiltonian structure of the waterbag model of dKP and establish the third-order Hamiltonian operator associated with the waterbag model. Also, the symmetries and conserved densities of rational type are discussed.
arXiv comment17 pages, no figures
References in corpus (17)
- Integrable Hierarchies and Dispersionless Limit
- On the local systems Hamiltonian in the weakly nonlocal Poisson brackets
- Solution of the dispersionless Hirota equations
- Topological Landau-Ginzburg theory with a rational potential and the dispersionless KP hierarchy
- Classical -Matrices and Compatible Poisson Structures for Lax Equations on Poisson Algebras
- On Associativity Equations in Dispersionless Integrable Hierarchies
- Flat pencils of metrics and Frobenius manifolds
- Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type
- Multi-Lagrangians for Integrable Systems
- Explicit solutions of the WDVV equation determined by the "flat" hydrodynamic reductions of the Egorov hydrodynamic chains
- Nonlocal Hamiltonian operators of hydrodynamic type with flat metrics, integrable hierarchies and the equations of associativity
- On the water-bag model of dispersionless KP hierarchy
- On the water-bag model of dispersionless KP hierarchy (II)
- Group analysis of hydrodynamic-type systems
- New Hamiltonian formalism and Lagrangian representations for integrable hydrodynamic type systems
- Quasi-Frobenius algebras and their integrable N-parametric deformations generated by compatible (N x N)-metrics of constant Riemannian curvature
- Compatible nonlocal Poisson brackets of hydrodynamic type, and integrable hierarchies related to them
Cited by in corpus (5)
- On the water-bag model of dispersionless KP hierarchy (II)
- Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations
- Remarks on the waterbag model of dispersionless Toda Hierarchy
- Old and New Reductions of Dispersionless Toda Hierarchy
- Solutions for real dispersionless Veselov-Novikov hierarchy