Open AccessSolving the Periodic Toda-Type Chain with a Self-Consistent Source
Author(s) -
Bazar Babajanov,
A. Sh. Azamatov,
Alisher Babajonov
Publication year - 2020
Publication title -
journal of basic and applied sciences
Language(s) - English
Resource type - Journals
ISSN - 1927-5129
DOI - 10.29169/1927-5129.2020.16.06
Subject(s) - toda lattice , type (biology) , chain (unit) , inverse , mathematical analysis , mathematics , physics , quantum mechanics , geometry , geology , paleontology , integrable system
In this article, we explore the periodic Toda-type chain. The aim of this work is to obtain representations for the solutions of the periodic Toda-type chain with self-consistent source within the framework of the inverse spectral method for the discrete Hill equation. An efficient method for integrating the periodic Toda-type chain with self-consistent source is presented. The results can be used in modeling special types of electric transmission lines.