Geodesic
Many-soliton solutions of asymmetric chiral $SU(2)$ and $SL(2,R)$ theories $(d=1)$
Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 2, pp. 246-257 
A. B. Borisov; V. V. Kiselev. Many-soliton solutions of asymmetric chiral $SU(2)$ and $SL(2,R)$ theories $(d=1)$. Teoretičeskaâ i matematičeskaâ fizika, Tome 54 (1983) no. 2, pp. 246-257. http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a8/
@article{TMF_1983_54_2_a8,
     author = {A. B. Borisov and V. V. Kiselev},
     title = {Many-soliton solutions of asymmetric chiral~$SU(2)$ and~$SL(2,R)$ theories~$(d=1)$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {246--257},
     year = {1983},
     volume = {54},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a8/}
}
TY  - JOUR
AU  - A. B. Borisov
AU  - V. V. Kiselev
TI  - Many-soliton solutions of asymmetric chiral $SU(2)$ and $SL(2,R)$ theories $(d=1)$
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 246
EP  - 257
VL  - 54
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a8/
LA  - ru
ID  - TMF_1983_54_2_a8
ER  - 
%0 Journal Article
%A A. B. Borisov
%A V. V. Kiselev
%T Many-soliton solutions of asymmetric chiral $SU(2)$ and $SL(2,R)$ theories $(d=1)$
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 246-257
%V 54
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1983_54_2_a8/
%G ru
%F TMF_1983_54_2_a8

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

$L-A$ pairs are found for the equations of the asymmetric chiral $SU(2)$ and $SL(2,R)$ theories. The application of the inverse scattering technique to the explicit calculation of $N$-soliton solutions is described.

[1] Faddeev L. D., Korepin V. E., Phys. Rep., 42C (1978), 1 | DOI | MR

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

[3] Kartan E., Geometriya grupp Li i simmetricheskie prostranstva, IL, M., 1949

[4] Zakharov V. E., Mikhailov A. V., ZhETF, 74:6 (1978), 1953–1973 | MR

[5] Zakharov V. E., Shabat A. B., Funkts. analiz i ego prilozh., 13:3 (1979), 13–22 | MR | Zbl

[6] Volkov D. V., Zheltukhin A. A., Bliokh Yu. P., FTT, 13:6 (1971), 1669–1678 | MR

[7] Volkov D. V., EChAYa, 4:1 (1973), 3–23 | MR

[8] Volkov M. K., Pervushin V. N., Suschestvenno nelineinye kvantovye teorii, dinamicheskie simmetrii i fizika mezonov, Atomizdat, M., 1978

[9] Volkov D. V., Zheltukhin A. A., FNT, 5:11 (1979), 1359–1363

[10] Andreev A. F., Marchenko V. I., UFN, 180:1 (1980), 39–63 | DOI

[11] Volkov D. V., Zheltukhin A. A., ZhETF, 78:5 (1980), 1867–1878

[12] Lakshmanan M., Phys. Lett. A, 61 (1977), 53–54 | DOI

[13] Pohlmeyer K., Commun. Math. Phys., 46 (1976), 207–221 | DOI | MR | Zbl

[14] Karpman V. I., Maslov E. M., ZhETF, 73:2 (1977), 537–559 | MR

[15] Cherednik I. V., TMF, 47:2 (1981), 225–229 | MR

[16] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, t. 3, Nauka, M., 1967, 299 pp. | MR

[17] Kaup D. J., The method of solution for stimulated Raman Scattering and Two-Photon Absorption, Preprint, April, 1980, Clarkson College of Technology | MR | Zbl

[18] Sklyanin E. K., On complete integrability of the Landau-Lifshitz equation, Preprint LOMI E-3, LOMI, Leningrad, 1979

[19] Ivanov B. A., Kosevich A. M., Babich I. M., Pisma v ZhETF, 29:12 (1979), 777–780

[20] Bogdan M. M., Kovalev A. S., Pisma v ZhETF, 31:8 (1980), 453–456

[21] Zverovich E. I., UMN, 26:1 (1971), 113–181 | MR

[22] Manakov S. V., Funkts. analiz i ego prilozh., 10:4 (1976), 93–95 | MR

[23] Mikhailov A. V., Pisma v ZhETF, 32:2 (1980), 187–192