Nonlinear continuous integrable Hamiltonian couplings
type: Item
instance of: scholarly article
title: Nonlinear continuous integrable Hamiltonian couplings
zbMATH Open document ID: 1234.37047
author: Wen-Xiu Ma
published in: Applied Mathematics and Computation
publication date: 2011-04-19T00:00:00Z
review text: In this paper, a scheme is established to construct nonlinear continuous integrable couplings by means of a kind of special non-semisimple matrix Lie algebras. Variational identities over the associated loop algebras are used to build Hamiltonian structures for the resulting couplings. The AKNS hierarchy of soliton equations is used to give an example of application of the scheme.
reviewed by: Giovanni Giachetta
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35F50
Mathematics Subject Classification ID: 37K30
zbMATH DE Number: 5880222
zbMATH Keywords: non-semisimple Lie algebras
zbMATH Keywords: integrable couplings
zbMATH Keywords: variational identities
MaRDI profile type: Publication
full work available at URL: j.amc.2011.02.014
OpenAlex ID: W1975042115
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DOI: 10.1016/J.AMC.2011.02.014
description: scientific article; zbMATH DE number 5880222