Breather Mobility in Discrete φ4 Nonlinear Lattices

Ding Chen, S. Aubry, and G. P. Tsironis
Phys. Rev. Lett. 77, 4776 – Published 2 December 1996
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Abstract

We introduce a systematic approach to investigate movability properties of localized excitations in discrete nonlinear lattice systems and apply it to φ4 lattices. Starting from the anticontinuous limit, we construct localized breather solutions that are shown to be linearly stable and to possess a pinning mode in the double well case. We demonstrate that an appropriate perturbation of the pinning mode yields a systematic method for constructing moving breathers with a minimum shape alteration. We find that the breather mobility improves with lower mode frequency. We analyze properties of the breather motion and determine its effective mass.

  • Received 27 June 1996

DOI:https://doi.org/10.1103/PhysRevLett.77.4776

©1996 American Physical Society

Authors & Affiliations

Ding Chen, S. Aubry, and G. P. Tsironis

  • Laboratoire Leon Brillouin, CEN Saclay, 91191 Gif-sur-Yvette, France

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Issue

Vol. 77, Iss. 23 — 2 December 1996

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