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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Global Well-posedness for the Derivative Nonlinear Schrödinger Equation Through Inverse Scattering

Liu, Jiaqi 01 January 2017 (has links)
We study the Cauchy problem of the derivative nonlinear Schrodinger equation in one space dimension. Using the method of inverse scattering, we prove global well-posedness of the derivative nonlinear Schrodinger equation for initial conditions in a dense and open subset of weighted Sobolev space that can support bright solitons.
nonlinear dispersive equations
solitons
inverse scattering
Riemann-Hilber problem
Partial Differential Equations

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