Geodesic
Partial Differential Equations
Existence of bound states for the coupled Schrödinger–KdV system with cubic nonlinearity
[Existence d'ondes solitaires pour le système couplé de Schrödinger–KdV avec non linearité cubique]

Présenté par : Gilles Lebeau

Dias, João-Paulo1 ; Figueira, Mário1 ; Oliveira, Filipe2
1 CMAF/UL and FCUL, Av. Prof. Gama Pinto, 2, 1649-003 Lisboa, Portugal
2 Dep. Matemática, FCT/UNL, Monte da Caparica, Portugal
Comptes Rendus. Mathématique, Tome 348 (2010) no. 19-20, pp. 1079-1082.

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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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.09.018

Dias, João-Paulo 1 ; Figueira, Mário 1 ; Oliveira, Filipe 2

1 CMAF/UL and FCUL, Av. Prof. Gama Pinto, 2, 1649-003 Lisboa, Portugal
2 Dep. Matemática, FCT/UNL, Monte da Caparica, Portugal 
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Dias, João-Paulo; Figueira, Mário; Oliveira, Filipe. Existence of bound states for the coupled Schrödinger–KdV system with cubic nonlinearity. Comptes Rendus. Mathématique, Tome 348 (2010) no. 19-20, pp. 1079-1082. doi : 10.1016/j.crma.2010.09.018. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2010.09.018/

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