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Solving the Periodic Toda-Type Chain with a Self-Consistent Source

Bazar BabajanovUrgench State University, Urgench, 220100, UzbekistanAzizbek AzamatovUrgench State University, Urgench, 220100, UzbekistanAlisher BabajonovUrgench State University, Urgench, 220100, Uzbekistan
ABI

Abstract

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.

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