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Nonlocal Solitons in a Nonlinear Chain of Atoms

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Abstract

A nonlinear 1D chain with nonlocal interaction has been considered. A nonlocal equation describing the propagation of envelope waves in the medium has been obtained using the multiscale decomposition method. The properties of the resulting equation have been studied and exact soliton-like solutions have been constructed using the Darboux transformation method.

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Funding

The work was carried out within the framework of the state task of the Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences.

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Authors and Affiliations

  1. Institute of Physics, Federal State Institution of Science Dagestan Scientific Center of Russian Academy of Sciences, Makhachkala, Russia

    T. A. Gadzhimuradov & A. M. Agalarov

Authors
  1. T. A. Gadzhimuradov
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  2. A. M. Agalarov
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Correspondence to T. A. Gadzhimuradov.

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Translated by N. Petrov

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Gadzhimuradov, T.A., Agalarov, A.M. Nonlocal Solitons in a Nonlinear Chain of Atoms. Phys. Solid State 62, 982–987 (2020). https://doi.org/10.1134/S1063783420060074

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  • DOI: https://doi.org/10.1134/S1063783420060074

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