Modified scattering for the cubic dispersion-managed NLS
Jason Murphy, Jiqiang Zheng
TL;DR
This paper proves a modified scattering result for the one-dimensional cubic dispersion-managed nonlinear Schrödinger equation with time-dependent dispersion, demonstrating how solutions behave asymptotically for small initial data in a weighted space.
Contribution
It introduces a novel small-data modified scattering theory specifically for the 1D cubic dispersion-managed NLS with time-dependent dispersion maps.
Findings
Established small-data modified scattering for the equation.
Demonstrated asymptotic behavior of solutions in weighted spaces.
Extended understanding of dispersion management effects on NLS dynamics.
Abstract
We establish a small-data modified scattering result for the cubic dispersion-managed NLS (with time-dependent dispersion map) for initial data in a weighted space.
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