Algebro-geometric solutions for a discrete integrable equation
type: Item
instance of: scholarly article
title: Algebro-geometric solutions for a discrete integrable equation
zbMATH Open document ID: 1397.37080
DOI: 10.1155/2017/5258375
author: Mengshuang Tao
author: Huan-He Dong
published in: Discrete Dynamics in Nature and Society
publication date: 2018-09-27T00:00:00Z
review text: Summary: With the assistance of a Lie algebra whose element is a matrix, we introduce a discrete spectral problem. By means of discrete zero curvature equation, we obtain a discrete integrable hierarchy. According to decomposition of the discrete systems, the new differential-difference integrable systems with two-potential functions are derived. By constructing the Abel-Jacobi coordinates to straighten the continuous and discrete flows, the Riemann theta functions are proposed. Based on the Riemann theta functions, the algebro-geometric solutions for the discrete integrable systems are obtained.
Mathematics Subject Classification ID: 37K20
Mathematics Subject Classification ID: 37K30
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 6944828
zbMATH Keywords: Lie algebra
zbMATH Keywords: Abel-Jacobi coordinates
zbMATH Keywords: Riemann theta functions
zbMATH Keywords: algebro-geometric solutions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/5258375
OpenAlex ID: W2769782904
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description: scientific article; zbMATH DE number 6944828