Showing math.APShow all
2 papers · 1 filter
math.AP2022
Modified Scattering of Cubic Nonlinear Schrödinger Equation on Rescaled Waveguide Manifolds
Bobby Wilson, Xueying Yu
We use modified scattering theory to demonstrate that small-data solutions to the cubic nonlinear Schrödinger equation on rescaled waveguide manifolds, $\mathbb{R} \times \mathbb{T…
math.AP2014
Sobolev Stability of Plane Wave Solutions to the Nonlinear Schrodinger Equation
Bobby Wilson
This article explores the questions of long time orbital stability in high order Sobolev norms of plane wave solutions to the NLSE in the defocusing case.