Stable solitary waves for one-dimensional Schrodinger-Poisson systems

Abstract

Based on the concentration compactness principle, we shoe the existence of ground state solitary wave solutions for one-dimensional Schrodinger-Poisson systems with large L2-norm in the energy space. We also obtain orbital stability for ground state solitary waves.

Keywords

• Solitary waves
• orbital stability
• Schrodinger-Poisson system