Stabilizing a breather in the damped nonlinear Schrödinger equation driven by two frequencies

David Cai, A. R. Bishop, Niels Grønbech-Jensen, Boris A. Malomed

Research output: Contribution to journalArticle

Abstract

In the framework of adiabatic perturbation theory and energy balance conditions, we analyze the possbility of stabilizing a breatherlike state (a bound state of two solitons with coinciding centers) in the damped (1+1)-dimensional cubic nonlinear Schrödinger equation by a two-frequency ac drive. The analytic predictions for the threshold of driving strengths above which a stable breather exists are in good agreement with those measured in numerical simulations.

Original languageEnglish (US)
Pages (from-to)R1000-R1002
JournalPhysical Review E
Volume49
Issue number2
DOIs
StatePublished - Jan 1 1994

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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