Geodesic
On some integrable generalizations of the continuous Toda system
Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 2, pp. 193-204 
M. V. Saveliev. On some integrable generalizations of the continuous Toda system. Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 2, pp. 193-204. http://geodesic.mathdoc.fr/item/TMF_1996_108_2_a1/
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     title = {On some integrable generalizations of the continuous {Toda} system},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1996_108_2_a1/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the present paper, we obtain some integrable generalizations of the continuous Toda system, generated by a flat connection form taking values in higher grading subspaces of the algebra of the area-preserving diffeomorphism of the torus $T^2$, and construct their general solutions. The grading condition which we use here, imposed on the connection, can be realized in terms of some holomorphic distributions on the corresponding homogeneous spaces.

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