Moving solitons in the damped Ablowitz-Ladik model driven by a standing wave

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

Research output: Contribution to journalArticle

Abstract

We predict theoretically that, via a resonance mechanism, stable moving solitons exist in a discrete (1+1)-dimensional nonlinear Schrödinger (Ablowitz-Ladik) equation with dissipation and an ac driving term in the form of a standing wave. Agreement between the predicted threshold (minimum) values of the strength of the drive which is able to sustain the moving solitons and those measured in direct numerical simulations is excellent. Our results show an example of multistability in damped, standing-wave-driven systems. The dynamical instability for the motion of solitons in the unstable regimes is also analyzed.

Original languageEnglish (US)
Pages (from-to)R694-R697
JournalPhysical Review E
Volume50
Issue number2
DOIs
StatePublished - 1994

ASJC Scopus subject areas

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

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    Cai, D., Bishop, A. R., Grønbech-Jensen, N., & Malomed, B. A. (1994). Moving solitons in the damped Ablowitz-Ladik model driven by a standing wave. Physical Review E, 50(2), R694-R697. https://doi.org/10.1103/PhysRevE.50.R694