Geodesic
General solutions of nonlinear equations in the theory of minimal surfaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 1, pp. 3-13 
B. M. Barbashov; V. V. Nesterenko; A. M. Chervyakov. General solutions of nonlinear equations in the theory of minimal surfaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 1, pp. 3-13. http://geodesic.mathdoc.fr/item/TMF_1982_52_1_a0/
@article{TMF_1982_52_1_a0,
     author = {B. M. Barbashov and V. V. Nesterenko and A. M. Chervyakov},
     title = {General solutions of nonlinear equations in the theory of minimal surfaces},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--13},
     year = {1982},
     volume = {52},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_1_a0/}
}
TY  - JOUR
AU  - B. M. Barbashov
AU  - V. V. Nesterenko
AU  - A. M. Chervyakov
TI  - General solutions of nonlinear equations in the theory of minimal surfaces
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1982
SP  - 3
EP  - 13
VL  - 52
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1982_52_1_a0/
LA  - ru
ID  - TMF_1982_52_1_a0
ER  - 
%0 Journal Article
%A B. M. Barbashov
%A V. V. Nesterenko
%A A. M. Chervyakov
%T General solutions of nonlinear equations in the theory of minimal surfaces
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1982
%P 3-13
%V 52
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1982_52_1_a0/
%G ru
%F TMF_1982_52_1_a0

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

General solutions are obtained for systems of nonlinear second-order partial differential equations with two independent variabIes that determine the fundamental differential forms of a two-dimensional minimal surface embedded in $n$-dimeasionaI pseudo-Euclidean space.

[1] Jackiw R., Rev. Mod. Phys., 49:3 (1977), 681 | DOI | MR

[2] Nambu Y., Phys. Rev., D10:12 (1974), 4262–4268 | MR

[3] Faddeev L. D., Korepin V. E., Phys. Rev., 42C:1 (1978), 1–87 | MR

[4] Barbashov B. M., Nesterenko V. V., EChAYa, 9:5 (1978), 709–758 | MR

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

[6] Sasaki R., Nucl. Phys., B154:2 (1979), 343–357 | DOI | MR

[7] Lund F., Phys. Rev., D15:6 (1977), 1540 | MR

[8] Barbashov B. M., Nesterenko V. V., Fortschr. Phys., B28:9 (1980), 427–464 | DOI | MR

[9] Barbashov B. M., Nesterenko V. V., Chervjakov A. M., J. Phys., A13:1 (1980), 301–312 | MR | Zbl

[10] Nesterenko V. V., Lett. Math. Phys., 4:6 (1980), 415–456 | DOI | MR

[11] Barbashov B. M., Nesterenko V. V., Commun. Math. Phys., 78:4 (1981), 499–506 | DOI | MR | Zbl

[12] Wilson K. G., Phys. Rev., D10:8 (1974), 2445–2459

[13] Favar Zh., Kurs lokalnoi differentsialnoi geometrii, IL, M., 1960

[14] Eisenhart L. P., Riemannian Geometry, Princeton University Press, Princeton, 1964 | MR

[15] Osserman R., Bull. Amer. Math. Soc., 75:6 (1969), 1092–1120 | DOI | MR | Zbl

[16] Omnes R., Nucl. Phys., B149:2 (1979), 269–284 | DOI | MR

[17] Bianchi L., Lezioni di Geometria Differenziale, 4 ed., Bologna, 1922–1923

[18] Forsyth A. R., Theory of differential equations, v. 5–6, Dover Publications, New York, 1959 | MR | Zbl

[19] Lund F., Ann. Phys., 115:2 (1978), 251–268 | DOI | MR | Zbl

[20] Abalakin V. K., Aksenov E. P., Grebennikov E. A., Demin V. G., Ryabov Yu. A., Spravochnoe rukovodstvo po nebesnoi mekhanike i astrodinamike, Nauka, M., 1976

[21] Leznov A. N., Savelev M. V., EChAYa, 11:1 (1980), 40–91 | MR

[22] Leznov A. N., Savelev M. V., EChAYa, 12:1 (1981), 125–161 | MR