Geodesic
Integrable main resonance equations
Matematičeskie zametki, Tome 80 (2006) no. 3, pp. 465-468.

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

Keywords: main resonance equations, parametric resonance, ordinary differential equation with cubic nonlinearity, Painlevé test, Abel equation of the second type. 
@article{MZM_2006_80_3_a16,
     author = {Yu. Yu. Bagderina},
     title = {Integrable main resonance equations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {465--468},
     publisher = {mathdoc},
     volume = {80},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_3_a16/}
}
TY  - JOUR
AU  - Yu. Yu. Bagderina
TI  - Integrable main resonance equations
JO  - Matematičeskie zametki
PY  - 2006
SP  - 465
EP  - 468
VL  - 80
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2006_80_3_a16/
LA  - ru
ID  - MZM_2006_80_3_a16
ER  - 
%0 Journal Article
%A Yu. Yu. Bagderina
%T Integrable main resonance equations
%J Matematičeskie zametki
%D 2006
%P 465-468
%V 80
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2006_80_3_a16/
%G ru
%F MZM_2006_80_3_a16
Yu. Yu. Bagderina. Integrable main resonance equations. Matematičeskie zametki, Tome 80 (2006) no. 3, pp. 465-468. http://geodesic.mathdoc.fr/item/MZM_2006_80_3_a16/

[1] N. N. Bogolyubov, Yu. A. Mitropolskii, Asimptoticheskie metody v teorii nelineinykh kolebanii, GITTL, M., 1955 | MR | MR | Zbl

[2] A. Naife, Vvedenie v metody vozmuschenii, Mir, M., 1984 | MR | Zbl

[3] A. I. Neishtadt, Prikl. matem. i mekh., 39:4 (1975), 621–632 | MR | Zbl

[4] K. S. Golovanivskii, Fizika plazmy, 11:3 (1985), 295–299

[5] A. A. Kolomenskii, A. N. Lebedev, Teoriya tsiklicheskikh uskoritelei, Fizmatlit, M., 1962

[6] L. A. Kalyakin, ZhVMiMF, 46:1 (2006), 83–94 | MR | Zbl

[7] M. J. Ablowitz, A. Ramani, H. Segur, J. Math. Phys., 21:4 (1980), 715–721 | DOI | MR | Zbl

[8] A. Ramani, B. Dorizzi, B. Grammaticos, Phys. Rev. Lett., 49 (1982), 1539–1541 | DOI | MR

[9] L. A. Kalyakin, Dokl. RAN, 378:5 (2001), 594–597 | MR | Zbl