Asimptotic behaviour of the solution of the Cauchy problem for the Volterra chain with step-like initial data
Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 335-344
Cet article a éte moissonné depuis la source Math-Net.Ru
The connection between a solution of the Volterra chain tending at infinity to constans and the Riemannian curve of genus one modulated in the sence of Witham is described. The leading term of the asymptotic expansion of the solution is constructed.
@article{TMF_1997_111_3_a1,
author = {V. L. Vereshchagin},
title = {Asimptotic behaviour of the solution of the {Cauchy} problem for the {Volterra} chain with step-like initial data},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {335--344},
year = {1997},
volume = {111},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a1/}
}
TY - JOUR AU - V. L. Vereshchagin TI - Asimptotic behaviour of the solution of the Cauchy problem for the Volterra chain with step-like initial data JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1997 SP - 335 EP - 344 VL - 111 IS - 3 UR - http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a1/ LA - ru ID - TMF_1997_111_3_a1 ER -
%0 Journal Article %A V. L. Vereshchagin %T Asimptotic behaviour of the solution of the Cauchy problem for the Volterra chain with step-like initial data %J Teoretičeskaâ i matematičeskaâ fizika %D 1997 %P 335-344 %V 111 %N 3 %U http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a1/ %G ru %F TMF_1997_111_3_a1
V. L. Vereshchagin. Asimptotic behaviour of the solution of the Cauchy problem for the Volterra chain with step-like initial data. Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 335-344. http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a1/
[1] S. V. Manakov, ZhETF, 67:8 (1974), 543–555 | MR
[2] A. P. Veselov, TMF, 71:1 (1987), 154–159 | MR
[3] V. L. Vereschagin, Matem. zametki, 44:5 (1988), 584–595 | MR | Zbl
[4] R. F. Bikbaev, Ob uravnenii Kortevega–de Friza s konechnozonnymi granichnymi usloviyami, Preprint BNTs UrO AN SSSR, Ufa, 1988
[5] R. F. Bikbaev, Algebra i analiz, 2:3 (1990), 131–143 | MR
[6] R. F. Bikbaev, TMF, 97:2 (1993), 191–212 | MR | Zbl
[7] V. L. Vereschagin, Nonlinear Analysis, Theory, Methods Applications, 19:2 (1992), 177–185 | DOI | MR | Zbl
[8] V. L. Vereschagin, Matem. zametki, 48:2 (1990), 145–148 | MR | Zbl
[9] V. E. Zakharov, S. V. Manakov, ZhETF, 71:1 (1976), 203–215