The~Korteweg--de Vries equation with a~self-consistent source in the~class of periodic functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 2, pp. 214-221
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We use the inverse spectral problem method to integrate the Korteweg–de Vries equation with a self-consistent source in the class of periodic functions.
Keywords:
Sturm–Liouville operator, spectral data, system of Dubrovin equations, Korteweg–de Vries equation with a self-consistent source.
@article{TMF_2010_164_2_a3,
author = {A. B. Khasanov and A. B. Yakhshimuratov},
title = {The~Korteweg--de {Vries} equation with a~self-consistent source in the~class of periodic functions},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {214--221},
publisher = {mathdoc},
volume = {164},
number = {2},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2010_164_2_a3/}
}
TY - JOUR AU - A. B. Khasanov AU - A. B. Yakhshimuratov TI - The~Korteweg--de Vries equation with a~self-consistent source in the~class of periodic functions JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2010 SP - 214 EP - 221 VL - 164 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2010_164_2_a3/ LA - ru ID - TMF_2010_164_2_a3 ER -
%0 Journal Article %A A. B. Khasanov %A A. B. Yakhshimuratov %T The~Korteweg--de Vries equation with a~self-consistent source in the~class of periodic functions %J Teoretičeskaâ i matematičeskaâ fizika %D 2010 %P 214-221 %V 164 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2010_164_2_a3/ %G ru %F TMF_2010_164_2_a3
A. B. Khasanov; A. B. Yakhshimuratov. The~Korteweg--de Vries equation with a~self-consistent source in the~class of periodic functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 164 (2010) no. 2, pp. 214-221. http://geodesic.mathdoc.fr/item/TMF_2010_164_2_a3/