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From solitons to discrete breathers

Author

Listed:
  • Manuel G. Velarde

    (Instituto Pluridisciplinar)

  • Alexander P. Chetverikov

    (Saratov State University)

  • Werner Ebeling

    (Institute of Physics, Humboldt University)

  • Sergey V. Dmitriev

    (Institute for Metals Superplasticity Problems, Russian Academy of Sciences
    Research Laboratory for Mechanics of New Nanomaterials, Peter the Great St. Petersburg Polytechnical University)

  • Victor D. Lakhno

    (Institute of Mathematical Problems of Biology, Russian Academy of Sciences)

Abstract

The excitation of solitons and discrete breathers (pinned or otherwise, also known as intrinsic localized modes, DB/ILM) in a one-dimensional lattice, also denoted as a chain, is considered when both on-site and inter-site vibrations, coupled together, are governed by the empirical Morse interaction. We focus attention on the transformation of the former into the latter as the relative strength of the on-site potential to that of the inter-site potential is increased.

Suggested Citation

  • Manuel G. Velarde & Alexander P. Chetverikov & Werner Ebeling & Sergey V. Dmitriev & Victor D. Lakhno, 2016. "From solitons to discrete breathers," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(10), pages 1-10, October.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:10:d:10.1140_epjb_e2016-70489-3
    DOI: 10.1140/epjb/e2016-70489-3
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    Keywords

    Solid State and Materials;

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