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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/