Hamiltonian Structures for the Generalized Dispersionless KdV Hierarchy
Abstract
We study from a Hamiltonian point of view the generalized dispersionless KdV hierarchy of equations. From the socalled dispersionless Lax representation of these equations we obtain three compatible Hamiltonian structures. The second and third Hamiltonian structures are calculated directly from the rmatrix approach. Since the third structure is not related recursively with the first two the generalized dispersionless KdV hierarchy can be characterized as a truly triHamiltonian system.
 Publication:

Reviews in Mathematical Physics
 Pub Date:
 1996
 DOI:
 10.1142/S0129055X96000378
 arXiv:
 arXiv:solvint/9601001
 Bibcode:
 1996RvMaP...8.1041B
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 High Energy Physics  Theory
 EPrint:
 16 pages, plain TeX