Solutions to the nonlinear Schrodinger equation with Dirac mass initial data

Public Deposited
Analytics

Downloadable Content

Download PDF
Request Version for Screen Reader
Last Modified
  • March 21, 2019
Creator
  • Newport, Jason
    • Affiliation: College of Arts and Sciences, Department of Mathematics
Abstract
  • We study the Nonlinear Schrodinger Equation Dirac mass initial data. We use scattering and inverse scattering theory to pose a Riemann Hilbert problem with a regularized reflection coefficient. We study the asymptotic behaviour of this RHP as the regularizing parameter tends to zero. We also establish asymptotic descriptions of solutions for sequences of initial data that converge to a Dirac mass, using a connection to previously known long time asymptotics.
Date of publication
DOI
Resource type
Rights statement
  • In Copyright
Advisor
  • McLaughlin, K. T-R
Degree granting institution
  • University of North Carolina at Chapel Hill
Language
Access right
  • Open access
Date uploaded
  • October 11, 2010

Relations

Parents:

This work has no parents.

Items

Thumbnail Title Date Uploaded Visibility Actions
file details Solutions to the nonlinear Schrodinger equation with Dirac mass initial data 2019-04-11 Public Download