Abstract

The nonlinear Fourier transform (NFT) is used to characterize the optical combs in the Lugiato-Lefever equation with both anomalous and normal dispersion. We demonstrate that the NFT signal processing technique can simplify analysis of the formation of dissipative dark solitons and regimes exploiting modulation instability for a generation of coherent structures, by approximating the comb with several discrete eigenvalues, providing a platform for the analytical description of dissipative coherent structures.

Original languageEnglish
Pages (from-to)L020202
JournalPhysical review. E
Volume103
Issue number2
DOIs
Publication statusPublished - 1 Feb 2021

OECD FOS+WOS

  • 1.01 MATHEMATICS
  • 1.03 PHYSICAL SCIENCES AND ASTRONOMY
  • 1.03.UK PHYSICS, CONDENSED MATTER
  • 1.03.UF PHYSICS, FLUIDS & PLASMAS

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