Soliton solutions for integrable equations in nonlinear optics: Bäcklund Transformation approach

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Abstract

We consider integrable equations, which govern the dynamics of nonlinear wave propagation in optical fibres or two-level resonant optical media. For such integrable equations, which possess a linear eigenvalue problem with variable spectral parameter, we show that the Backlund transformation is one of the easiest methods to generate the exact one soliton solution.

Original languageEnglish
Pages (from-to)1747-1753
Number of pages6
JournalNonlinearity
Volume15
Publication statusPublished - 2002

Keywords

  • INVERSE METHOD
  • FIBERS
  • DISPERSION
  • TRANSMISSION
  • PROPAGATION
  • MEDIA

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