Comptes Rendus
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]
Comptes Rendus. Mathématique, Volume 348 (2010) no. 19-20, pp. 1079-1082.

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.

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

João-Paulo Dias 1 ; Mário Figueira 1 ; Filipe Oliveira 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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     title = {Existence of bound states for the coupled {Schr\"odinger{\textendash}KdV} system with cubic nonlinearity},
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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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