Coherence and chaos in the driven damped sine-gordon equation: Measurement of the soliton spectrum

E. A. Overman, D. W. McLaughlin, A. R. Bishop

Research output: Contribution to journalArticle

Abstract

A numerical procedure is developed which measures the sine-Gordon soliton and radiation content of any field (φ, φt) which is periodic in space. The procedure is applied to the field generated by a damped, driven sine-Gordon equation. This field can be either temporally periodic (locked to the driver) or chaotic. In either case the numerical measurement shows that the spatial structure can be described by only a few spatially localized (soliton wave-train) modes. The numerical procedure quantitatively identifies the presence, number and properties of these soliton wave-trains. For example, an increase of spatial symmetry is accompanied by the injection of additional solitons into the field.

Original languageEnglish (US)
Pages (from-to)1-41
Number of pages41
JournalPhysica D: Nonlinear Phenomena
Volume19
Issue number1
DOIs
StatePublished - Feb 1986

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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