@article{TMF_2010_164_2_a3,
author = {A. B. Khasanov and A. B. Yakhshimuratov},
title = {The~Korteweg{\textendash}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},
year = {2010},
volume = {164},
number = {2},
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 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 %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/
[1] S. P. Novikov, Funkts. analiz i ego pril., 8:3 (1974), 54–66 | DOI | MR | Zbl
[2] B. A. Dubrovin, Funkts. analiz i ego pril., 9:3 (1975), 41–51 | DOI | MR | Zbl
[3] B. A. Dubrovin, S. P. Novikov, ZhETF, 67:12 (1974), 2131–2143 | MR
[4] A. R. Its, V. B. Matveev, TMF, 23:1 (1975), 51–68 | DOI | MR
[5] P. D. Lax, “Periodic solutions of the KdV equations”, Nonlinear Wave Motion, Lecture Appl. Math., 15, eds. A. C. Newell, AMS, Providence, RI, 1974, 85–96 | MR | Zbl
[6] P. D. Lax, Comm. Pure Appl. Math., 28 (1975), 141–188 | DOI | MR | Zbl
[7] H. P. McKean, E. Trubowitz, Comm. Pure Appl. Math., 29:2 (1976), 143–226 | DOI | MR | Zbl
[8] V. A. Marchenko, Matem. sb., 95(137):3(11) (1974), 331–356 | DOI | MR | Zbl
[9] V. K. Melnikov, Metod integrirovaniya uravneniya Kortevega–de Vrisa s samosoglasovannym istochnikom, Preprint, OIYaI, Dubna, 1988 | MR
[10] V. K. Mel'nikov, Inverse Problems, 8:1 (1992), 133–147 | DOI | MR | Zbl
[11] J. Leon, A. Latifi, J. Phys. A, 23:8 (1990), 1385–1403 | DOI | MR | Zbl
[12] G. U. Urazboev, A. B. Khasanov, TMF, 129:1 (2001), 38–54 | DOI | MR | Zbl
[13] A. B. Khasanov, G. U. Urazboev, Uzb. matem. zhurn., 2003, no. 2, 53–59 | MR
[14] P. G. Grinevich, I. A. Taimanov, “Spectral conservation laws for periodic nonlinear equations of the Melnikov type”, Geometry, Topology, and Mathematical Physics, Amer. Math. Soc. Transl. Ser. 2, 224, eds. V. M. Buchstaber, I. M. Krichever, AMS, Providence, RI, 2008, 125–138 | MR | Zbl
[15] A. Yu. Orlov, E. I. Schulman, Lett. Math. Phys., 12:3 (1986), 171–179 | DOI | MR | Zbl