Decay estimates and smoothness for solutions of the dispersion managed non-linear Schrödinger equation

2008/04/23 by Dirk Hundertmark, Hundertmark, Dirk, Young-Ran Lee +1
Mathematics · #35Q55 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.0804.3778

openalex publication_date 2008/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the decay and smoothness of solutions of the dispersion managed non-linear Schrödinger equation in the case of zero residual dispersion. Using new x-space versions of bilinear Strichartz estimates, we show that the solutions are not only smooth, but also fast decaying.

Related

• Averaging of dispersion managed nonlinear Schrödinger equations
• Continuum limit related to dispersion managed nonlinear Schrödinger equations
• Dispersive decay for the mass-critical nonlinear Schrödinger equation
• Decay estimates for Nonlinear Schrödinger equation with the inverse-square potential
• On decaying properties of nonlinear Schrödinger equations