Sharp local well-posedness for the Schrödinger-Korteweg-de Vries system

Simão Correia, Felipe Linares, Jorge Drumond Silva

We prove a sharp local existence result for the Schrödinger-Korteweg-de Vries system with initial data in $H^k(\mathbb{R})\times H^s(\mathbb{R})$. The proof is based on the concep…