Geodesic
Hamiltonian structure of the Kadomzev--Petviashvily type equations
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 212-227

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Following a general group theoretic pattern a description is given of the Hamiltonian structure and integrals of motion for a class of nonlinear equationswith two special variables. Connections with the nonlocal Riemann problem are discussed. Other items include Hamiltonian formalism for stationary equations and multitime formalism. 
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     author = {A. G. Reiman and M. A. Semenov-Tian-Shansky},
     title = {Hamiltonian structure of the {Kadomzev--Petviashvily} type equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {133},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a14/}
}
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A. G. Reiman; M. A. Semenov-Tian-Shansky. Hamiltonian structure of the Kadomzev--Petviashvily type equations. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 212-227. http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a14/