Geodesic
N-soliton solution of chiral fields on Grassmann manifolds ($\sigma$ model)
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 2, pp. 214-225 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The inverse scattering method is used to calculate many-soliton solutions of chiral fields on Grassmann manifolds. The simplest soliton and breather solutions are presented. Interactions of the solitons are studied. 
@article{TMF_1984_61_2_a4,
     author = {A. Yu. Orlov},
     title = {N-soliton solution of chiral fields on {Grassmann} manifolds ($\sigma$ model)},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {214--225},
     year = {1984},
     volume = {61},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_61_2_a4/}
}
TY  - JOUR
AU  - A. Yu. Orlov
TI  - N-soliton solution of chiral fields on Grassmann manifolds ($\sigma$ model)
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1984
SP  - 214
EP  - 225
VL  - 61
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1984_61_2_a4/
LA  - ru
ID  - TMF_1984_61_2_a4
ER  - 
%0 Journal Article
%A A. Yu. Orlov
%T N-soliton solution of chiral fields on Grassmann manifolds ($\sigma$ model)
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1984
%P 214-225
%V 61
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1984_61_2_a4/
%G ru
%F TMF_1984_61_2_a4
A. Yu. Orlov. N-soliton solution of chiral fields on Grassmann manifolds ($\sigma$ model). Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 2, pp. 214-225. http://geodesic.mathdoc.fr/item/TMF_1984_61_2_a4/

[1] Zakharov V. E., Mikhailov A. V., ZhETF, 74:6 (1978), 1955 | MR

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

[3] Eichenherr E., Forger M., Nucl. Phys., B164 (1980), 528 | DOI | MR

[4] Pohlmeyer K., Rehren K., J. Math. Phys., 20 (1979), 2628 | DOI | MR

[5] Zakharov V. E., Mikhailov A. V., Commun. Math. Phys., 21 (1980), 40 | MR

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

[7] Zakharov V. E., Mikhailov A. V., Pisma v ZhETF, 27 (1978), 47

[8] Zakharov V. E., Manakov S. V., ZhETF, 69:11 (1975), 1654 | MR

[9] Arkadev V. A., Pogrebkov A. K., Polivanov M. K., TMF, 53:2 (1982), 163–180 ; Орлов А. Ю., Препринт ИАиЭ No 221, ИАиЭ, Новосибирск, 1983 | MR | MR