Geodesic
Degenerate bi-Hamiltonian structures of the hydrodynamic type
Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 2, pp. 294-304

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Degenerate bi-Hamiltonian Poisson brackets of the hydrodynamic type are studied. They are bi-Hamiltonian structures of certain dispersionless rational Lax equations and are related to the notion of a degenerate Frobenius manifold. 
@article{TMF_2000_122_2_a11,
     author = {I. A. Strachan},
     title = {Degenerate {bi-Hamiltonian} structures of the hydrodynamic type},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {294--304},
     publisher = {mathdoc},
     volume = {122},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_122_2_a11/}
}
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I. A. Strachan. Degenerate bi-Hamiltonian structures of the hydrodynamic type. Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 2, pp. 294-304. http://geodesic.mathdoc.fr/item/TMF_2000_122_2_a11/