2 papers
math.AP2025
Large scale limit for a dispersion-managed NLS
Jason Murphy
We derive the standard power-type NLS as a scaling limit of the Gabitov--Turitsyn dispersion-managed NLS, using the defocusing, cubic equation as a model case. In particular,…
math.AP2024
A note on averaging for the dispersion-managed NLS
Jason Murphy
We discuss averaging for dispersion-managed nonlinear Schrödinger equations in the fast dispersion management regime, with an application to the problem of constructing soliton-lik…