This article is cited in 1 paper

International conference ''Phase transitions, critical and nonlinear phenomena in condensed matter'', Makhachkala, September 15-20, 2019
Lattice dynamics

Nonlocal solitons in a nonlinear chain of atoms

T. A. Gadzhimuradov, A. M. Agalarov

Daghestan Institute of Physics after Amirkhanov, Makhachkala, Russia

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.

Keywords: $\mathcal{PT}$, soliton, Darboux transformation.

Received: 30.12.2019
Revised: 30.12.2019
Accepted: 10.01.2020

DOI: 10.21883/FTT.2020.06.49341.16M

 English version: Physics of the Solid State, 2020, 62:6, 982–987

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