Hamiltonian description of singular solutions of the Liouville equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 65 (1985) no. 3, pp. 323-333 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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.
@article{TMF_1985_65_3_a0,
     author = {G. P. Jorjadze},
     title = {Hamiltonian description of singular solutions of the {Liouville} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {323--333},
     year = {1985},
     volume = {65},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_65_3_a0/}
}
TY  - JOUR
AU  - G. P. Jorjadze
TI  - Hamiltonian description of singular solutions of the Liouville equation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1985
SP  - 323
EP  - 333
VL  - 65
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1985_65_3_a0/
LA  - ru
ID  - TMF_1985_65_3_a0
ER  - 
%0 Journal Article
%A G. P. Jorjadze
%T Hamiltonian description of singular solutions of the Liouville equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1985
%P 323-333
%V 65
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1985_65_3_a0/
%G ru
%F TMF_1985_65_3_a0
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/

[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