Resonance in the collision of two discrete intrinsic localized excitations

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

Research output: Contribution to journalArticle

Abstract

The collision dynamics of two solitonlike localized excitations in a nonintegrable discrete [Formula Presented]-dimensional nonlinear Schrödinger system is studied numerically. It is demonstrated that the collision dynamics exhibits a complicated resonance structure of interlacing bound-state regions and escape regions of localized excitations with a sensitive dependence on the incoming energies of the localized excitations. We emphasize that this resonance is a combined effect of discreteness and nonintegrability of the system and contrast it with topological kink-antikink collisions in [Formula Presented] and related systems.

Original languageEnglish (US)
Pages (from-to)7246-7252
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume56
Issue number6
DOIs
StatePublished - 1997

ASJC Scopus subject areas

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

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