Hamiltonian Structures for the Generalized Dispersionless KdV Hierarchy

Details Hamiltonian Structures for the Generalized Dispersionless KdV Hierarchy Hamiltonian Structures for the Generalized Dispersionless KdV Hierarchy

1996-01-05

arxiv.org/abs/solv-int/9601001v1

Rev.Math.Phys. 8 (1996) 1041-1054

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, plain TeX

Scientific paper

10.1142/S0129055X96000378

We study from a Hamiltonian point of view the generalized dispersionless KdV hierarchy of equations. From the so called dispersionless Lax representation of these equations we obtain three compatible Hamiltonian structures. The second and third Hamiltonian structures are calculated directly from the r-matrix approach. Since the third structure is not related recursively with the first two ones the generalized dispersionless KdV hierarchy can be characterized as a truly tri-Hamiltonian system.

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