[Un exemple de solution non décroissante de l'équation de KdV posée sur un intervalle borné]
On considère un problème avec donnée initiale et au bord pour l'équation de KdV posée sur un intervalle borné. La théorie des fonctions elliptiques de Jacobi est utilisée pour obtenir un nouveau type d'ondes stationnaires qui sont périodiques en espace avec une période égale à une longueur d'intervalle. Les propriétés de ces solutions sont étudiées.
An initial-boundary value problem for the KdV equation posed on a bounded interval is considered. The theory of Jacobi elliptic functions is used to obtain a new kind of stationary waves which are spatially periodic with a period equal to an interval length. The properties of those solutions are studied.
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@article{CRMATH_2014__352_5_421_0,
author = {Doronin, Gleb Germanovitch and Natali, F\'abio M.},
title = {An example of non-decreasing solution for the {KdV} equation posed on a bounded interval},
journal = {Comptes Rendus. Math\'ematique},
pages = {421--424},
publisher = {Elsevier},
volume = {352},
number = {5},
year = {2014},
doi = {10.1016/j.crma.2014.02.001},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2014.02.001/}
}
TY - JOUR AU - Doronin, Gleb Germanovitch AU - Natali, Fábio M. TI - An example of non-decreasing solution for the KdV equation posed on a bounded interval JO - Comptes Rendus. Mathématique PY - 2014 SP - 421 EP - 424 VL - 352 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2014.02.001/ DO - 10.1016/j.crma.2014.02.001 LA - en ID - CRMATH_2014__352_5_421_0 ER -
%0 Journal Article %A Doronin, Gleb Germanovitch %A Natali, Fábio M. %T An example of non-decreasing solution for the KdV equation posed on a bounded interval %J Comptes Rendus. Mathématique %D 2014 %P 421-424 %V 352 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2014.02.001/ %R 10.1016/j.crma.2014.02.001 %G en %F CRMATH_2014__352_5_421_0
Doronin, Gleb Germanovitch; Natali, Fábio M. An example of non-decreasing solution for the KdV equation posed on a bounded interval. Comptes Rendus. Mathématique, Tome 352 (2014) no. 5, pp. 421-424. doi : 10.1016/j.crma.2014.02.001. http://www.numdam.org/articles/10.1016/j.crma.2014.02.001/
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