Integration of loaded Korteweg--de~Vries equation in a~class of periodic functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2016), pp. 87-92
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In this paper we apply the inverse spectral problem to integrate the Korteweg–de Vries equation with a loaded term in a class of periodic functions.
Keywords:
Korteweg–de Vries equation, Sturm–Liouville operator, inverse spectral problem, system of equations of Dubrovin, trace formulas.
@article{IVM_2016_2_a10,
author = {A. B. Yakhshimuratov and M. M. Matyokubov},
title = {Integration of loaded {Korteweg--de~Vries} equation in a~class of periodic functions},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {87--92},
publisher = {mathdoc},
number = {2},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2016_2_a10/}
}
TY - JOUR AU - A. B. Yakhshimuratov AU - M. M. Matyokubov TI - Integration of loaded Korteweg--de~Vries equation in a~class of periodic functions JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2016 SP - 87 EP - 92 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2016_2_a10/ LA - ru ID - IVM_2016_2_a10 ER -
%0 Journal Article %A A. B. Yakhshimuratov %A M. M. Matyokubov %T Integration of loaded Korteweg--de~Vries equation in a~class of periodic functions %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2016 %P 87-92 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2016_2_a10/ %G ru %F IVM_2016_2_a10
A. B. Yakhshimuratov; M. M. Matyokubov. Integration of loaded Korteweg--de~Vries equation in a~class of periodic functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2016), pp. 87-92. http://geodesic.mathdoc.fr/item/IVM_2016_2_a10/