Modified scattering for the cubic dispersion-managed NLS

2024/12/12 by Murphy, Jason, Zheng, Jiqiang
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2412.09762

Abstract

We establish a small-data modified scattering result for the 1d cubic dispersion-managed NLS (with time-dependent dispersion map) for initial data in a weighted space.

Related

• Small and large data scattering for the dispersion-managed NLS
• Large scale limit for a dispersion-managed NLS
• Almost surely smoothed scattering for cubic NLS
• Scattering for the dispersion managed nonlinear Schrödinger equation
• Modified scattering for the cubic Schrödinger equation small data solution on product space