The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy
type: Item
instance of: scholarly article
title: The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy
zbMATH Open document ID: 1421.35335
author: Xin Zeng
author: Jiao Wei
author: Xianguo Geng
published in: Annales Henri Poincaré
publication date: 2019-07-11T00:00:00Z
review text: The mathematical object, which is explored in this work, is the matrix nonlinear Schrödinger equation discrete with the respect to a spatial lattice and continuous with respect to time. It is associated with a hierarchy corresponding to the discrete \(3\times 3\) matrix spectral problem studied from algebro-geometric point of view; in particular, the stationary Baker-Akhiezer function is extended to the time-dependent case.
reviewed by: Eugene Postnikov
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7079111
zbMATH Keywords: discrete non-linear Schrödinger equation
zbMATH Keywords: matrix spectral problem
MaRDI profile type: Publication
full work available at URL: s00023-019-00798-z
OpenAlex ID: W2943099636
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DOI: 10.1007/S00023-019-00798-Z
description: scientific article; zbMATH DE number 7079111