Mots-clés : trace formula.
@article{TMF_2015_184_2_a4,
author = {B. A. Babajanov and A. B. Khasanov},
title = {Periodic {Toda} chain with an~integral source},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {253--268},
year = {2015},
volume = {184},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2015_184_2_a4/}
}
B. A. Babajanov; A. B. Khasanov. Periodic Toda chain with an integral source. Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 2, pp. 253-268. http://geodesic.mathdoc.fr/item/TMF_2015_184_2_a4/
[1] M. Toda, Progr. Theor. Phys. Suppl., 45 (1970), 174–200 | DOI
[2] M. Toda, Theory of Nonlinear Lattices, Springer Series in Solid-State Sciences, 20, Springer, Berlin–New York, 1981 | DOI | MR | Zbl
[3] S. V. Manakov, ZhETF, 67:2 (1974), 543–555 | MR
[4] H. Flaschka, Progr. Theor. Phys., 51:3 (1974), 703–716 | DOI | MR | Zbl
[5] B. A. Dubrovin, V. B. Matveev, S. P. Novikov, UMN, 31:1(187) (1976), 55–136 | DOI | MR | Zbl
[6] E. Date, S. Tanaka, Progr. Theor. Phys., 55:2 (1976), 457–465 | DOI | MR | Zbl
[7] I. M. Krichever, UMN, 33:4(202) (1978), 215–216 | DOI | MR | Zbl
[8] V. G. Samoilenko, A. K. Prikarpatskii, Ukr. matem. zhurn., 34:4 (1982), 469–475 | MR
[9] M. Ablovits, Kh. Sigur, Solitony i metod obratnoi zadachi, Mir, M., 1987 | MR | Zbl | Zbl
[10] V. K. Mel'nikov, Phys. Lett. A, 128:9 (1988), 488–492 | DOI | MR
[11] G. Teschl, Jacobi Operators and Completely Integrable Lattices, Mathematical Surveys and Monographs, 72, AMS, Providence, RI, 2000 | MR | Zbl
[12] G. U. Urazboev, TMF, 154:2 (2008), 305–315 | DOI | DOI | MR | Zbl
[13] A. Cabada, G. U. Urazboev, Inverse Problems, 26:8 (2010), 085004, 12 pp. | DOI | MR | Zbl
[14] X. Liu, Y. Zeng, J. Phys. A: Math. Gen., 38:41 (2005), 8951–8965 | DOI | MR | Zbl
[15] P. G. Grinevich, I. A. Taimanov, “Spectral conservation laws for periodic nonlinear equations of the Melnikov type”, Geometry, Topology, and Mathematical Physics, S. P. Novikov's Seminar: 2006–2007, Amer. Math. Soc. Transl. Ser. 2, 224, eds. V. M. Buchstaber, I. M. Krichever, AMS, Providence, RI, 2008, 125–138 | MR | Zbl
[16] A. B. Khasanov, A. B. Yakhshimuratov, TMF, 164:2 (2010), 214–221 | DOI | DOI | Zbl
[17] B. A. Babajanov, M. Fečkan, G. U. Urazbaev, Commun. Nonlinear Sci. Numer. Simul., 22:1–3 (2015), 1223–1234 | DOI | MR | Zbl
[18] H. Hochstadt, Linear Algebra Appl., 11:1 (1975), 41–52 | DOI | MR | Zbl
[19] A. Gurvits, R. Kurant, Teoriya funktsii, Nauka, M., 1968 | MR