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 (1 + 1)-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 ø4 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
StatePublished - 1997

Fingerprint

Collision
Excitation
collisions
excitation
Non-integrability
Interlacing
Kink
nonlinear systems
Bound States
escape
Nonlinear Systems
Energy
energy

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Resonance in the collision of two discrete intrinsic localized excitations. / Cai, David; Bishop, A. R.; Grønbech-Jensen, Niels.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 56, No. 6, 1997, p. 7246-7252.

Research output: Contribution to journalArticle

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