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From solitons to discrete breathers

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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.

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Author information

Authors and Affiliations

  1. Instituto Pluridisciplinar, UCM, Paseo Juan XXIII 1, 28040, Madrid, Spain

    Manuel G. Velarde

  2. Department of Physics, Saratov State University, Astrakhanskaya 83, 410012, Saratov, Russia

    Alexander P. Chetverikov

  3. Institute of Physics, Humboldt University, Newton strasse 15, 12489, Berlin, Germany

    Werner Ebeling

  4. Institute for Metals Superplasticity Problems, Russian Academy of Sciences, Khalturin 39, 450001, Ufa, Russia

    Sergey V. Dmitriev

  5. Research Laboratory for Mechanics of New Nanomaterials, Peter the Great St. Petersburg Polytechnical University, 195251, St. Petersburg, Russia

    Sergey V. Dmitriev

  6. Institute of Mathematical Problems of Biology, Russian Academy of Sciences, Vitkevicha 1, 142290, Pushchino, Russia

    Victor D. Lakhno

Authors
  1. Manuel G. Velarde
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  2. Alexander P. Chetverikov
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  3. Werner Ebeling
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  4. Sergey V. Dmitriev
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  5. Victor D. Lakhno
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Correspondence to Manuel G. Velarde.

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Velarde, M., Chetverikov, A., Ebeling, W. et al. From solitons to discrete breathers. Eur. Phys. J. B 89, 233 (2016). https://doi.org/10.1140/epjb/e2016-70489-3

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  • DOI: https://doi.org/10.1140/epjb/e2016-70489-3

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