Bargman's generalized potentials and soliton solutions of equations of Toda periodic lattice of the series \(A_ k\)
type: Item
instance of: scholarly article
title: Bargman's generalized potentials and soliton solutions of equations of Toda periodic lattice of the series \(A_ k\)
zbMATH Open document ID: 0575.34017
DOI: 10.1007/BF01083699
author: A. N. Leznov
publication date: 1984-01-01T00:00:00Z
review text: The author remarks that the condition of simultaneity of some systems of linear equations which give the periodic Toda chain equations is equivalent to the condition of simultaneity of some higher order systems. In this way he reduces the problem of soliton solutions of equations of periodic Toda chain to the problem of generalized Bergmann potentials.
Mathematics Subject Classification ID: 34L99
zbMATH DE Number: 3918837
zbMATH Keywords: periodic Toda chain equations
zbMATH Keywords: higher order systems
zbMATH Keywords: soliton solutions
zbMATH Keywords: Bergmann potentials
reviewed by: Stefan Balint
MaRDI profile type: Publication
cites work: Q5330830
cites work: On the Connection between Phase Shifts and Scattering Potential
cites work: Q4090743
cites work: Darboux transformation and explicit solutions of the Kadomtsev-Petviashvili equation, depending on functional parameters
full work available at URL: https://doi.org/10.1007/bf01083699
OpenAlex ID: W2021003466
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 3918837