Integration of the finite complex Toda lattice with a self-consistent source

In the paper, we derive a finite complex Toda lattice with a self-consistent source. We discuss the complete integrability of the constructed systems that is based on the transformation to the spectral data of an associated finite Jacobi matrix. We show that the finite complex Toda lattice with a se...

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Bibliographic Details

Published in:	Partial Differential Equations in Applied Mathematics
Main Authors:	B.A. Babajanov, M.M. Ruzmetov, Sh.O. Sadullaev
Format:	Article
Language:	English
Published:	Elsevier 2023-06-01
Subjects:	Complex Toda lattice Jacobi matrix Self-consistent source Differential–difference equation Spectral data Inverse spectral problem
Online Access:	http://www.sciencedirect.com/science/article/pii/S2666818123000232