Nonlinear evolutions with singular dispersion laws associated with a quadratic bundle

  • Doktorov E
  • Shchesnovich V
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Abstract

We obtain a hierarchy of nonlinear evolution equations with self-consistent source related to the Wadati-Konno-Ichikawa type spectral problem. The modified NLS equation with a source, which describes the ultrashort light pulse propagation in a nonlinear single-mode optical fiber with resonant impurities, is shown to be a gauge-transformed member of the hierarchy. The soliton solution for this equation is found. © 1995.

Author-supplied keywords

  • Hierarchies of equations
  • Nonlinear evolutions with self-consistent source
  • Solitons

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Authors

  • E. V. Doktorov

  • V. S. Shchesnovich

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