Isomonodromic deformations and integrable systems
type: Item
instance of: scholarly article
title: Isomonodromic deformations and integrable systems
zbMATH Open document ID: 1015.34079
DOI: 10.1023/A:1011041130474
author: L. A. Dickey
published in: Letters in Mathematical Physics
publication date: 2002-02-04T00:00:00Z
review text: Here, the author gives a possibly simple and graphical description of a relationship between the isomonodromic problem and integrable systems. One can construct a huge integral system which contains isomonodromic deformations as well as all known 2-dimensional integrable systems in the Zakharov-Shabat form as its restrictions. Besides, the author gives a proof of the isomonodromic property of the constructed deformations that is considerably easier than existent proofs.
reviewed by: S. D. Bajpai
Mathematics Subject Classification ID: 34M25
Mathematics Subject Classification ID: 32G34
zbMATH DE Number: 1654964
zbMATH Keywords: Zakhov-Shabat
zbMATH Keywords: hierarchy
zbMATH Keywords: isomonodromic problem
MaRDI profile type: Publication
full work available at URL: a:1011041130474
OpenAlex ID: W115597458
description: scientific article; zbMATH DE number 1654964