Geodesic
A unified Hamiltonian system on polynomial bundles and the structure of stationary problems
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 4, Tome 131 (1983), pp. 118-127 Cet article a éte moissonné depuis la source Math-Net.Ru

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A relation between Hamiltonian structures on polynomial bundles of different degrees is established. A symplectic form on the space of stationary solutions, previously defined in term of the Legendre–Ostrodradsky transformation, is shown to coinside with the Kirillov form on the corresponding orbit. 
@article{ZNSL_1983_131_a10,
     author = {A. G. Reiman},
     title = {A~unified {Hamiltonian} system on polynomial bundles and the structure of stationary problems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {118--127},
     year = {1983},
     volume = {131},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_131_a10/}
}
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A. G. Reiman. A unified Hamiltonian system on polynomial bundles and the structure of stationary problems. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 4, Tome 131 (1983), pp. 118-127. http://geodesic.mathdoc.fr/item/ZNSL_1983_131_a10/