Bright and dark breathers in Fermi-Pasta-Ulam lattices

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dc.creatorSánchez-Rey, B.
dc.creatorJames, G.
dc.creatorCuevas, J.
dc.creatorArchilla, J. F. R.
dc.date2003-06-16
dc.date2004-05-03
dc.date.accessioned2026-07-07T06:29:24Z
dc.date.available2026-07-07T06:29:24Z
dc.descriptionIn this paper we study the existence and linear stability of bright and dark breathers in one-dimensional FPU lattices. On the one hand, we test the range of validity of a recent breathers existence proof [G. James, {\em C. R. Acad. Sci. Paris}, 332, Ser. 1, pp. 581 (2001)] using numerical computations. Approximate analytical expressions for small amplitude bright and dark breathers are found to fit very well exact numerical solutions even far from the top of the phonon band. On the other hand, we study numerically large amplitude breathers non predicted in the above cited reference. In particular, for a class of asymmetric FPU potentials we find an energy threshold for the existence of exact discrete breathers, which is a relatively unexplored phenomenon in one-dimensional lattices. Bright and dark breathers superposed on a uniformly stressed static configuration are also investigated.
dc.description11 pages, 16 figures
dc.identifierhttps://arxiv.org/abs/nlin/0306025
dc.identifierhttp://arxiv.org/abs/nlin/0306025
dc.identifierPhys. Rev. B 70:014301, July 9, 2004
dc.identifierdoi:10.1103/PhysRevB.70.014301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98018
dc.subjectPattern Formation and Solitons
dc.subjectSoft Condensed Matter
dc.subjectAdaptation and Self-Organizing Systems
dc.titleBright and dark breathers in Fermi-Pasta-Ulam lattices
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