Existence of bound states for the coupled Schr?dinger-KdV system with cubic nonlinearity [Existence d'ondes solitaires pour le système couplé de Schr?dinger-KdV avec non linearité cubique.]

摘要

We prove in this Note the existence of an infinite family of smooth positive bound states for the coupled Schr?dinger-Korteweg-de Vries system, which decays exponentially at infinity.