Geodesic
Hamiltonian structure of polynomial bundles
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 67-76

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A general group-theoretic method is used to define the Hamiltonian structure of non-linear evolution equations whose Zakharov–Shabat potentials depend polynomially on the spectral parameter. Associated coadjoint orbits are determined. Generating functions for the $M$-operators and the densities and currents of the conservation laws are derived. 
@article{ZNSL_1983_123_a4,
     author = {P. P. Kulish and A. G. Reiman},
     title = {Hamiltonian structure of polynomial bundles},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {67--76},
     publisher = {mathdoc},
     volume = {123},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a4/}
}
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P. P. Kulish; A. G. Reiman. Hamiltonian structure of polynomial bundles. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 67-76. http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a4/