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Nonlocal Solitons in a Nonlinear Chain of Atoms
Physics of the Solid State ( IF 0.6 ) Pub Date : 2020-06-10 , DOI: 10.1134/s1063783420060074
T. A. Gadzhimuradov , A. M. Agalarov

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.


中文翻译:

非线性原子链中的非局部孤子

摘要

已经考虑了具有非局部相互作用的非线性一维链。使用多尺度分解方法已经获得了描述包络波在介质中传播的非局部方程。研究了所得方程的性质,并使用Darboux变换方法构造了精确的类孤子解。
更新日期:2020-06-10
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