Nonlinearity from geometric interactions: A case example

P. G. Kevrekidis*, V. V. Konotop, B. A. Malomed, A. R. Bishop

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

A model exemplifying nonlinearity emerging from linear interactions through a geometric restriction imposed on the motion in a simple ladder-shaped system of particle was proposed. The model included two strings of particle which were set along rigid rails of a railroad and coupled by linear springs. The model had its physical realization in terms of dust chains in plasmas, or arrays of microparticles trapped in strong optical lattices. The transverse couplings between the strings and the motion constraint gave rise to solitary waves, which were found analytically in long wavelength limit and were obtained in simulations of the full systems.

Original languageEnglish
Article number047602
Pages (from-to)047602-1-047602-4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume70
Issue number4 2
DOIs
StatePublished - Oct 2004

Funding

FundersFunder number
U.S. Department of Energy

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