Comptes Rendus
no. 6
Ordinary differential equations/Calculus of variations
Existence of bound and ground states for a system of coupled nonlinear Schrödinger–KdV equations
[Existence de solutions à énergie finie et énergie minimale pour des systèmes couplés d'équations de Schrödinger–KdV non linéaires]

Présenté par : Haïm Brézis

Eduardo Colorado1, 2
1 Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Madrid, Spain
2 Instituto de Ciencias Matemáticas, ICMAT (CSIC–UAM–UC3M–UCM), C/Nicolás Cabrera 15, 28049 Madrid, Spain
Comptes Rendus. Mathématique, Volume 353 (2015) no. 6, pp. 511-516.

On montre l'existence de solutions à énergie finie et énergie minimale pour des systèmes couplés d'équations de Schrödinger–Korteweg–de Vries non linéaires, en fonction de la taille du coefficient de couplage.

We prove the existence of bound and ground states for a system of coupled nonlinear Schrödinger–Korteweg–de Vries equations, depending on the size of the coupling coeffi-cient.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.03.011

Eduardo Colorado 1, 2

1 Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Madrid, Spain
2 Instituto de Ciencias Matemáticas, ICMAT (CSIC–UAM–UC3M–UCM), C/Nicolás Cabrera 15, 28049 Madrid, Spain 
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Eduardo Colorado. Existence of bound and ground states for a system of coupled nonlinear Schrödinger–KdV equations. Comptes Rendus. Mathématique, Volume 353 (2015) no. 6, pp. 511-516. doi : 10.1016/j.crma.2015.03.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.03.011/

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