Comptes Rendus
Partial Differential Equations
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.

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.

Received:
Accepted:
Published online:
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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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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