Gain in regularity for a coupled nonlinear Schrödinger system

Abstract

We study the gain of regularity for the initial value problem for acoupled nonlinear Schrödinger system that describes some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photo refractive media in optics and Bose-Einstein condensates. This study is motivated by the results obtained by N. Hayashi et al.

Keywords

• Schrödinger equations
• gain of regularity.