Compactlike discrete breathers in systems with nonlinear and nonlocal dispersive terms

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dc.creatorGorbach, A. V.
dc.creatorFlach, S.
dc.date2005-02-28
dc.date2005-11-21
dc.date.accessioned2026-07-07T06:40:18Z
dc.date.available2026-07-07T06:40:18Z
dc.descriptionDiscrete breathers with purely anharmonic short-range interaction potentials localize super-exponentially becoming compact-like. We analyze their spatial localization properties and their dynamical stability. Several branches of solutions are identified. One of them connects to the well-known Page and Sievers-Takeno lattice modes, another one connects with the compacton solutions of Rosenau. The absence of linear dispersion allows for extremely long-lived time-quasiperiodic localized excitations. Adding long-range anharmonic interactions leads to an extreme case of competition between length scales defining the spatial breather localization. We show that short- and long-range interaction terms competition results in the appearance of several characteristic cross-over lengths and essentially breaks the concept of compactness of the corresponding discrete breathers.
dc.description5 pages, 4 figures, revised version, published in PRE
dc.identifierhttps://arxiv.org/abs/nlin/0502063
dc.identifierhttp://arxiv.org/abs/nlin/0502063
dc.identifierPhys. Rev. E 72, 056607 (2005)
dc.identifierdoi:10.1103/PhysRevE.72.056607
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101360
dc.subjectPattern Formation and Solitons
dc.titleCompactlike discrete breathers in systems with nonlinear and nonlocal dispersive terms
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