Geodesic
Hamiltonian description of singular solutions of the Liouville equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 65 (1985) no. 3, pp. 323-333 
G. P. Jorjadze. Hamiltonian description of singular solutions of the Liouville equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 65 (1985) no. 3, pp. 323-333. http://geodesic.mathdoc.fr/item/TMF_1985_65_3_a0/
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     title = {Hamiltonian description of singular solutions of the {Liouville} equation},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Bäcklund and Crum transformations are used to give a Hamiltonian description of solutions of the Liouville equation. Regular canonical variables are introduced and Poisson brackets correctly defined.

[1] Dzhordzhadze G. P., Pogrebkov A. K., Polivanov M. K., TMF, 40:2 (1979), 221–234 | MR | Zbl

[2] Jackiw R., Liouville Field Theory: a Two-Dimensional Model for Gravity?, Preprint MIT, CTP, 1049, Cambridge, Massachusetts, 1982 | MR

[3] Johansson L., Marnelius R., Liouville Theories with Singularities and Quantum Strings in $D26$, Preprint ITP, 84-33, Göteborg, 1984 | MR

[4] Pogrebkov A. K., DAN SSSR, 244:4 (1979), 873–876 | MR | Zbl

[5] Jorjadze G. P., Pogrebkov A. K., Polivanov M. C., Talalov S. V., J. of Phys. A, 1985

[6] Lamb G. L., Lect. Notes in Math., 515, 1976, 69–79 | DOI | MR | Zbl

[7] Crum M. M., The Quarterly J. of Math., 6:22 (1955), 121–127 | DOI | MR

[8] Magri F., J. Math. Phys., 19 (1978), 1156–1162 | DOI | MR | Zbl

[9] Zakharov V. E., Manakov S. V., Novikov S. P., Pitaevskii L. P., Teoriya solitonov. Metod obratnoi zadachi, ed. S. P. Novikov, Nauka, M., 1980 | MR