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.
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.
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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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