Spectral instability of the semiclassical Zakharov-Shabat eigenvalue problem

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Abstract

We present some brief numerical results indicating that in the semiclassical limit the Zakharov-Shabat eigenvalue problem exhibits severe spectral instability, and that small changes in the potential can result in large changes in the spectrum.

Original languageEnglish (US)
Pages (from-to)163-170
Number of pages8
JournalPhysica D: Nonlinear Phenomena
Volume152-153
DOIs
StatePublished - May 15 2001

Keywords

  • NLS equation
  • Spectral instability
  • Zakharov-Shabat eigenvalue

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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