Geodesic
On the complete integrability of the two-dimensional classical Thirring model
Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 3, pp. 303-314 
E. A. Kuznetsov; A. V. Mikhailov. On the complete integrability of the two-dimensional classical Thirring model. Teoretičeskaâ i matematičeskaâ fizika, Tome 30 (1977) no. 3, pp. 303-314. http://geodesic.mathdoc.fr/item/TMF_1977_30_3_a1/
@article{TMF_1977_30_3_a1,
     author = {E. A. Kuznetsov and A. V. Mikhailov},
     title = {On~the complete integrability of the two-dimensional classical {Thirring} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {303--314},
     year = {1977},
     volume = {30},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_30_3_a1/}
}
TY  - JOUR
AU  - E. A. Kuznetsov
AU  - A. V. Mikhailov
TI  - On the complete integrability of the two-dimensional classical Thirring model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 303
EP  - 314
VL  - 30
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_30_3_a1/
LA  - ru
ID  - TMF_1977_30_3_a1
ER  - 
%0 Journal Article
%A E. A. Kuznetsov
%A A. V. Mikhailov
%T On the complete integrability of the two-dimensional classical Thirring model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 303-314
%V 30
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1977_30_3_a1/
%G ru
%F TMF_1977_30_3_a1

Voir la notice de l'article provenant de la source Math-Net.Ru

Classical two-dimensional Thirring model is thoroughly investigated by means of the inverse scattering problem. The problem of solitons collisions is solved. The complete integrability of the model is proved.

[1] C. Gardner, T. Green, M. Kruskal, R. Miura, Phys. Rev. Lett., 19 (1967), 1095 | DOI

[2] V. E. Zakharov, L. D. Faddeev, Funkts. analiz i ego pril., 5:4 (1971), 18 | MR | Zbl

[3] V. E. Zakharov, L. A. Takhtadzhyan, L. D. Faddeev, DAN SSSR, 219 (1974), 1334 | Zbl

[4] A. V. Mikhailov, Pisma v ZhETF, 23:6 (1976), 356

[5] P. Laks, Matematika, 13:5 (1969), 128

[6] V. E. Zakharov, Doklad na Vsesoyuznoi konferentsii po uravneniyam s chastnymi proizvodnymi, posvyaschennoi 75-letiyu so dnya rozhdeniya akademika I. G. Petrovskogo (Moskva, 27–29 yanvarya 1976 g.)

[7] D. J. Kaup, Preprint, Clarkson College of Technology Potsdam, New-York, 1975

[8] V. E. Zakharov, S. V. Manakov, TMF, 19 (1974), 3

[9] S. V. Manakov, ZhETF, 67 (1974), 543 | MR