Toda lattice with a special self-consistent source
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 305-315 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We describe a method for integrating the Toda lattice with a self-consistent source using the inverse scattering method for a discrete Sturm–Liouville operator with moving eigenvalues.
Keywords: Toda lattice, self-consistent source, inverse scattering method, moving eigenvalues.
@article{TMF_2008_154_2_a8,
     author = {G. U. Urazboev},
     title = {Toda lattice with a~special self-consistent source},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {305--315},
     year = {2008},
     volume = {154},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a8/}
}
TY  - JOUR
AU  - G. U. Urazboev
TI  - Toda lattice with a special self-consistent source
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2008
SP  - 305
EP  - 315
VL  - 154
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a8/
LA  - ru
ID  - TMF_2008_154_2_a8
ER  - 
%0 Journal Article
%A G. U. Urazboev
%T Toda lattice with a special self-consistent source
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2008
%P 305-315
%V 154
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a8/
%G ru
%F TMF_2008_154_2_a8
G. U. Urazboev. Toda lattice with a special self-consistent source. Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 305-315. http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a8/

[1] M. J. Ablowitz, D. J. Kaup, A. C. Newell, H. Segur, Stud. Appl. Math., 53 (1974), 249 | DOI | MR | Zbl

[2] A. Nyuell, “Obratnoe preobrazovanie rasseyaniya”, Solitony, eds. R. Bullaf, F. Kodri, Mir, M., 1983, 193 | MR | MR | Zbl

[3] F. Kalodzhero, A. Degasperis, Spektralnye preobrazovaniya i solitony. Metody resheniya i issledovaniya nelineinykh evolyutsionnykh uravnenii, Mir, M., 1985 | MR | MR | Zbl | Zbl

[4] S. V. Manakov, ZhETF, 67:2 (1974), 543 | MR

[5] H. Flaschka, Progr. Theor. Phys., 51:3 (1974), 703 | DOI | MR | Zbl

[6] Ag. Kh. Khanmamedov, Ukrainian Math. J., 57:8 (2005), 1350 | DOI | MR | Zbl

[7] V. K. Mel'nikov, Inverse Problems, 6 (1990), 809 | DOI | MR | Zbl

[8] G. U. Urazboev, A. B. Khasanov, TMF, 129:1 (2001), 38 | DOI | MR | Zbl

[9] K. M. Case, M. Kac, J. Math. Phys., 14 (1973), 594 | DOI | MR

[10] G. Sh. Guseinov, DAN SSSR, 231:5 (1976), 1045 | MR | Zbl

[11] M. Toda, Teoriya nelineinykh reshetok, Mir, M., 1984 | MR | MR | Zbl

[12] L. A. Takhtadzhyan, L. D. Faddeev, Gamiltonov podkhod v teorii solitonov, Nauka, M., 1986 | MR | MR | Zbl | Zbl