An integrable couplings of Dirac soliton hierarchy with self-consistent sources
type: Item
instance of: scholarly article
title: An integrable couplings of Dirac soliton hierarchy with self-consistent sources
zbMATH Open document ID: 1157.35098
author: Li Li
author: Fa-Jun Yu
published in: Applied Mathematics and Computation
publication date: 2009-03-02T00:00:00Z
review text: The authors present a kind of integrable couplings of solution equations hierarchy with self-consistent sources associated with \(\tilde{sl}(4)\). Moreover, the integrable couplings of corresponding Dirac hierarchy with self-consistent sources is constructed.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 17B80
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 65L80
zbMATH DE Number: 5522201
zbMATH Keywords: Dirac equations
zbMATH Keywords: self-consistent sources
zbMATH Keywords: integrable couplings
zbMATH Keywords: loop algebra
MaRDI profile type: Publication
full work available at URL: j.amc.2008.10.022
OpenAlex ID: W2093887339
cites work: Q3995225
cites work: Soliton, Positon and Negaton Solutions to a Schrödinger Self-consistent Source Equation
cites work: Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources
cites work: Integrable theory of the perturbation equations.
cites work: The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
cites work: Enlarging spectral problems to construct integrable couplings of soliton equations
cites work: Integrable couplings of vector AKNS soliton equations
cites work: Semi-direct sums of Lie algebras and continuous integrable couplings
cites work: A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
cites work: A \(2+1\) non-isospectral discrete integrable system and its discrete integrable coupling system
cites work: Characteristic Numbers of Matrix Lie Algebras
cites work: The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions
cites work: The multi-component generalized Wadati-Konono-Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions
cites work: A new loop algebra system and its discrete integrable coupling system
cites work: Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
cites work: A discrete variational identity on semi-direct sums of Lie algebras
cites work: Integration of the soliton hierarchy with self-consistent sources
cites work: Q4016078
cites work: Virasoro symmetry algebra of Dirac soliton hierarchy
cites work: Periodic solutions of the KdV equation
cites work: The general scheme for higher-order decompositions of zero-curvature equations associated with \(\widetilde {sl}(2)\)
DOI: 10.1016/J.AMC.2008.10.022
description: scientific article; zbMATH DE number 5522201