15 Citations (Scopus)

Abstract

Using the cubic Ginzburg-Landau equation as an example, we demonstrate how the inverse scattering transform can be applied to characterize coherent structures in dissipative nonlinear systems. Using this approach one can reduce the number of the effective degrees of freedom in the system when the dynamic is dominated by the coherent structures, even if they are embedded in the dispersive waves and demonstrate unstable behavior.

Original languageEnglish
Article number153901
Number of pages5
JournalPhysical Review Letters
Volume122
Issue number15
DOIs
Publication statusPublished - 15 Apr 2019

Keywords

  • SCATTERING TRANSFORM
  • COMPUTATION
  • SOLITON

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