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Nonlinear Spectral Singularities for Confined Nonlinearities

Mostafazadeh, Ali


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  <dc:creator>Mostafazadeh, Ali</dc:creator>
  <dc:date>2013-01-01</dc:date>
  <dc:description>We introduce a notion of spectral singularity that applies for a general class of nonlinear Schrodinger operators involving a confined nonlinearity. The presence of the nonlinearity does not break the parity-reflection symmetry of spectral singularities but makes them amplitude dependent. Nonlinear spectral singularities are, therefore, associated with a resonance effect that produces amplified waves with a specific amplitude-wavelength profile. We explore the consequences of this phenomenon for a complex delta-function potential that is subject to a general confined nonlinearity.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/12961</dc:identifier>
  <dc:identifier>oai:zenodo.org:12961</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>PHYSICAL REVIEW LETTERS 110(26)</dc:source>
  <dc:title>Nonlinear Spectral Singularities for Confined Nonlinearities</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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