@article{UFA_2014_6_1_a10,
author = {M. V. Yangubaeva},
title = {On structure of integrals for systems of discrete equations},
journal = {Ufa mathematical journal},
pages = {111--116},
year = {2014},
volume = {6},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UFA_2014_6_1_a10/}
}
M. V. Yangubaeva. On structure of integrals for systems of discrete equations. Ufa mathematical journal, Tome 6 (2014) no. 1, pp. 111-116. http://geodesic.mathdoc.fr/item/UFA_2014_6_1_a10/
[1] G. Darboux, Lecons sur la théorie générale des surfaces et les applications geometriques du calcul infinitesimal, v. 1–4, Gauthier-Villars, Paris, 1896 | Zbl
[2] E. Goursat, “Recherches sur quelques équations aux dérivées partielles du second ordre”, Annales de la faculté des Sciences de l'Université de Toulouse $2^e$ série, 1:1 (1899), 31–78 | MR | Zbl
[3] Leznov A. N., Smirnov V. G., Shabat A. B., “Gruppa vnutrennikh simmetrii i usloviya integriruemosti dvumernykh dinamicheskikh sistem”, TMF, 51:1 (1982), 10–21 | MR | Zbl
[4] Shabat A. B., Yamilov R. I., Eksponentsialnye sistemy tipa I i matritsy Kartana, Preprint, Bashkirskii filial AN SSSR, Ufa, 1981, 22 pp.
[5] Zhiber A. V., Murtazina R. D., Khabibullin I. T., Shabat A. B., Kharakteristicheskie koltsa Li i nelieinye integriruemye uravneniya, Institut kompyuternykh issledovanii, M.–Izhevsk, 2012, 376 pp.
[6] I. Habibullin, N. Zheltukhina, A. Pekcan, “On the classification of Darboux integrable equations”, Journal of Mathematical Physics, 49 (2008), No 102702 | DOI | MR | Zbl
[7] I. Habibullin, N. Zheltukhina, A. Pekcan, “Complete list of Darboux integrable chains of the form $t_{1,x}=t_x+d(t,t_1)$”, Journal of Mathematical Physics, 50 (2009), No 102710 | DOI | MR | Zbl
[8] Zhiber A. V., Gureva A. M., “O kharakteristicheskom uravnenii kvazilineinoi giperbolicheskoi sistemy uravnenii”, Vestnik UGATU (Ufa), 6:2(13) (2005), 26–34
[9] Zhiber A. V., Kostrigina O. S., “Kharakteristicheskie algebry nelineinykh giperbolicheskikh sistem uravnenii”, Zhurn. SFU. Ser. Matem. i fiz., 3:2 (2010), 173–184
[10] Adler V. E., Startsev S. Ya., “O diskretnykh analogakh uravneniya Liuvillya”, TMF, 121:2 (1999), 271–284 | DOI | MR | Zbl
[11] Zhiber A. V., Sokolov V. V., “Tochno integriruemye giperbolicheskie uravneniya liuvillevskogo tipa”, UMN, 56:1(337) (2001), 63–106 | DOI | MR | Zbl
[12] R. N. Garifullin, R. I. Yamilov, “Examples of Darboux Integrable Discrete Equations Possessing First Integrals of an Arbitrarily High Minimal Order”, Ufimskii matematicheskii zhurnal, 4:3 (2012), 177–183
[13] R. N. Garifullin, R. I. Yamilov, “Generalized symmetry classification of discrete equations of a class depending on twelve parameters”, J. Phys. A: Math. Theor., 45 (2012), No 345205 | DOI | MR | Zbl
[14] R. N. Garifullin, I. T. Habibullin, M. V. Yangubaeva, “Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time”, SIGMA, 8 (2012), 062, 33 pp. | DOI | MR | Zbl