@article{TMF_2015_185_3_a1,
author = {V. E. Akhmedova and A. V. Zabrodin},
title = {Elliptic parameterization of {Pfaff} integrable hierarchies in the~zero-dispersion limit},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {410--422},
year = {2015},
volume = {185},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a1/}
}
TY - JOUR AU - V. E. Akhmedova AU - A. V. Zabrodin TI - Elliptic parameterization of Pfaff integrable hierarchies in the zero-dispersion limit JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2015 SP - 410 EP - 422 VL - 185 IS - 3 UR - http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a1/ LA - ru ID - TMF_2015_185_3_a1 ER -
V. E. Akhmedova; A. V. Zabrodin. Elliptic parameterization of Pfaff integrable hierarchies in the zero-dispersion limit. Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 3, pp. 410-422. http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a1/
[1] M. Jimbo, T. Miwa, Publ. Res. Inst. Math. Sci., 19:3 (1983), 943–1001 | DOI | MR | Zbl
[2] R. Hirota, Y. Ohta, J. Phys. Soc. Japan, 60:3 (1991), 798–809 | DOI | MR | Zbl
[3] M. Adler, E. Horozov, P. van Moerbeke, Internat. Math. Res. Notices, 1999:11 (1999), 569–588 | DOI | MR | Zbl
[4] M. Adler, T. Shiota, P. van Moerbeke, Math. Ann., 322:3 (2002), 423–476 | DOI | MR | Zbl
[5] S. Kakei, J. Phys. Soc. Japan, 68:9 (1999), 2875–2877 | DOI | MR
[6] S. Isojima, R. Willox, J. Satsuma, J. Phys. A: Math. Gen., 35:32 (2002), 6893–6909 | DOI | MR | Zbl
[7] J. van de Leur, J. Nonlinear Math. Phys., 8:2 (2001), 288–310 | DOI | MR | Zbl
[8] A. Orlov, Phys. Lett. A, 378:4 (2014), 319–328 | DOI | MR
[9] Y. Kodama, K.-I. Maruno, J. Phys. A: Math. Gen., 39:15 (2006), 4063–4086, arXiv: nlin/0602031 | DOI | MR | Zbl
[10] Y. Kodama, V. Pierce, Commun. Math. Phys., 292:2 (2009), 529–568, arXiv: 0811.0351 | DOI | MR | Zbl
[11] M. Adler, V. Kuznetsov, P. van Moerbeke, Ergodic Theory Dynam. Systems, 22:5 (2002), 1365–1405 | DOI | MR | Zbl
[12] R. Willox, Glasg. Math. J., 47:A (2005), 221–231 | DOI | MR
[13] K. Takasaki, SIGMA, 5 (2009), 109, 34 pp. | DOI | MR | Zbl
[14] K. Takasaki, “Differential Fay identities and auxiliary linear problem of integrable hierachies”, Exploring New Structures and Natural Constructions in Mathematical Physics (Nagoya, Japan, March 5–8, 2007), Advanced Studies in Pure Mathematics, 61, eds. K. Hasegawa, T. Hayashi, S. Hosono, Y. Yamada, Math. Soc. Japan, Tokyo, 2011, 387–441 | MR | Zbl
[15] I. M. Krichever, Funkts. anal. i ego pril., 22:3 (1988), 37–52 | DOI | MR | Zbl
[16] I. Krichever, A. Marshakov, A. Zabrodin, Commun. Math. Phys., 259:1 (2005), 1–44, arXiv: hep-th/0309010 | DOI | MR | Zbl
[17] V. Akhmedova, A. Zabrodin, J. Phys. A: Math. Theor., 47:39 (2014), 392001, 13 pp., arXiv: 1404.5135 | DOI | MR | Zbl
[18] T. Takasaki, T. Takebe, Rev. Math. Phys., 7:5 (1995), 743–808 | DOI | MR | Zbl
[19] T. Takebe, Lectures on Dispersionless Integrable Hierarchies, Rikkyo Center of Mathematical Physics, 2, Research Center for Mathematical Physics, Rikkyo Universty, Tokyo, 2014
[20] A. V. Zabrodin, TMF, 113:2 (1997), 179–230 | DOI | DOI | MR
[21] S. Kharchev, A. Zabrodin, J. Geom. Phys., 94 (2015), 19–31, arXiv: 1502.04603 | DOI | MR | Zbl