Solutions to the nonlinear Schrodinger equation with Dirac mass initial data Public Deposited

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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.
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  • In Copyright
Advisor
  • McLaughlin, K. T-R
Degree granting institution
  • University of North Carolina at Chapel Hill
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  • Open access
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