Geodesic
Automorphic systems of scalar fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 1, pp. 44-49 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Relativistically invariant systems of classical fields which have the property of being automorphic are constructed. This property makes it possible to write down an explicit formula that determines (locally) the general solution of such systems. 
@article{TMF_1981_46_1_a3,
     author = {S. A. Vladimirov},
     title = {Automorphic systems of scalar fields},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {44--49},
     year = {1981},
     volume = {46},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a3/}
}
TY  - JOUR
AU  - S. A. Vladimirov
TI  - Automorphic systems of scalar fields
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1981
SP  - 44
EP  - 49
VL  - 46
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a3/
LA  - ru
ID  - TMF_1981_46_1_a3
ER  - 
%0 Journal Article
%A S. A. Vladimirov
%T Automorphic systems of scalar fields
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1981
%P 44-49
%V 46
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a3/
%G ru
%F TMF_1981_46_1_a3
S. A. Vladimirov. Automorphic systems of scalar fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 46 (1981) no. 1, pp. 44-49. http://geodesic.mathdoc.fr/item/TMF_1981_46_1_a3/

[1] E. Vessiot, Acta Math., 28 (1904), 307 | DOI | MR | Zbl

[2] L. V. Ovsyannikov, Gruppovoi analiz differentsialnykh uravnenii, «Nauka», 1978 | MR

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

[4] V. E. Zakharov, L. A. Takhtadzhyan, L. D. Faddeev, DAN SSSR, 219:6 (1974), 1334 | Zbl

[5] V. E. Zakharov, A. B. Shabat, ZhETF, 61 (1971), 118

[6] A. Neveu, N. Papanicolaou, Commun. Math. Phys., 58 (1978), 31 | DOI | MR

[7] J. Liouville, J. Math. Pures Appl., 18 (1853), 71

[8] E. Hopf, Commun. Pure Appl. Math., 3 (1950), 201 | DOI | MR | Zbl

[9] B. M. Barbashev, N. A. Chernikov, ZhETF, 50 (1950), 1296

[10] G. G. Dzhordzhadze, A. K. Pogrebkov, M. K. Polivanov, TMF, 40 (1979), 221 | MR | Zbl

[11] S. N. Antropov, S. A. Vladimirov, TMF, 35 (1978), 56 | Zbl

[12] V. S. Vladimirov, Uravneniya matematicheskoi fiziki, «Nauka», M., 1976 | MR | Zbl

[13] N. Kh. Ibragimov, Gruppy Li v nekotorykh voprosakh matematicheskoi fiziki, izd. NGU, Novosibirsk, 1972 | MR

[14] L. D. Faddeev., “Differentsialno-geometricheskie struktury i kvantovaya teoriya polya”, Trudy Mezhdunarodnoi konferentsii po matematicheskim problemam v kvantovoi teorii polya i matematicheskoi statistike, «Nauka», 1975, 215