A note on the dispersionless Dym hierarchy
type: Item
instance of: scholarly article
title: A note on the dispersionless Dym hierarchy
zbMATH Open document ID: 1024.37042
DOI: 10.1023/A:1023082617759
author: Yu-Tung Chen
author: Ming-Hsien Tu
published in: Letters in Mathematical Physics
publication date: 2003-07-01T00:00:00Z
review text: The authors consider the dispersionless Dym hierarchy; in particular, the Miura map that relates it to the dispersionless modified KP hierarchy, and its bi-Hamiltonian structure. They then consider a truncated dispersionless Dym hierarchy (in two variables). This leads to two sets of commuting flows, which the authors show can be derived from the genus-zero topological recursion relation in the Landau-Ginzburg formulation.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 17B63
zbMATH DE Number: 1944888
zbMATH Keywords: bi-Hamiltonian structure
zbMATH Keywords: dispersionless Dym hierarchy
zbMATH Keywords: Landau-Ginzburg formulation
zbMATH Keywords: Miura map
reviewed by: Andrew Pickering
MaRDI profile type: Publication
full work available at URL: a:1023082617759
OpenAlex ID: W3160046518
description: scientific article; zbMATH DE number 1944888