[Existence d'ondes solitaires pour le système couplé de Schrödinger–KdV avec non linearité cubique]
Nous prouvons dans cette Note l'existence d'une famille infinie d'ondes solitaires régulières pour le système couplé de Schrödinger–Korteweg–de Vries, qui décroissent exponentiellement a l'infini.
We prove in this Note the existence of an infinite family of smooth positive bound states for the coupled Schrödinger–Korteweg–de Vries system, which decays exponentially at infinity.
Accepté le :
Publié le :
João-Paulo Dias 1 ; Mário Figueira 1 ; Filipe Oliveira 2
@article{CRMATH_2010__348_19-20_1079_0,
author = {Jo\~ao-Paulo Dias and M\'ario Figueira and Filipe Oliveira},
title = {Existence of bound states for the coupled {Schr\"odinger{\textendash}KdV} system with cubic nonlinearity},
journal = {Comptes Rendus. Math\'ematique},
pages = {1079--1082},
publisher = {Elsevier},
volume = {348},
number = {19-20},
year = {2010},
doi = {10.1016/j.crma.2010.09.018},
language = {en},
}
TY - JOUR AU - João-Paulo Dias AU - Mário Figueira AU - Filipe Oliveira TI - Existence of bound states for the coupled Schrödinger–KdV system with cubic nonlinearity JO - Comptes Rendus. Mathématique PY - 2010 SP - 1079 EP - 1082 VL - 348 IS - 19-20 PB - Elsevier DO - 10.1016/j.crma.2010.09.018 LA - en ID - CRMATH_2010__348_19-20_1079_0 ER -
%0 Journal Article %A João-Paulo Dias %A Mário Figueira %A Filipe Oliveira %T Existence of bound states for the coupled Schrödinger–KdV system with cubic nonlinearity %J Comptes Rendus. Mathématique %D 2010 %P 1079-1082 %V 348 %N 19-20 %I Elsevier %R 10.1016/j.crma.2010.09.018 %G en %F CRMATH_2010__348_19-20_1079_0
João-Paulo Dias; Mário Figueira; Filipe Oliveira. Existence of bound states for the coupled Schrödinger–KdV system with cubic nonlinearity. Comptes Rendus. Mathématique, Volume 348 (2010) no. 19-20, pp. 1079-1082. doi : 10.1016/j.crma.2010.09.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.09.018/
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