Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 12, pp. 2049-2054
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The Cauchy problem for the Langmuir lattice with the initial condition in the form of the sum of a periodic and a rapidly decreasing sequences is studied by the method of inverse scattering problem. A method for constructing a periodic solution of the Langmuir lattice from a known periodic solution is proposed. The existence of an asymptotically periodic solution is proven.
@article{ZVMMF_2015_55_12_a7,
author = {M. G. Makhmudova and A. Kh. Khanmamedov},
title = {Asymptotic periodic solution of the {Cauchy} problem for the {Langmuir} lattice},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2049--2054},
publisher = {mathdoc},
volume = {55},
number = {12},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_12_a7/}
}
TY - JOUR AU - M. G. Makhmudova AU - A. Kh. Khanmamedov TI - Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2015 SP - 2049 EP - 2054 VL - 55 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_12_a7/ LA - ru ID - ZVMMF_2015_55_12_a7 ER -
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M. G. Makhmudova; A. Kh. Khanmamedov. Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 12, pp. 2049-2054. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_12_a7/