The multi-component dispersive long wave equation hierarchy, its integrable couplings and their Hamiltonian structures
type: Item
instance of: scholarly article
title: The multi-component dispersive long wave equation hierarchy, its integrable couplings and their Hamiltonian structures
zbMATH Open document ID: 1157.37333
author: Fu-Cai You
author: Tiecheng Xia
published in: Applied Mathematics and Computation
publication date: 2008-09-12T00:00:00Z
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 5342797
zbMATH Keywords: loop algebra
zbMATH Keywords: dispersive long wave (DLW) equation hierarchy
zbMATH Keywords: integrable couplings
zbMATH Keywords: Hamiltonian structure
MaRDI profile type: Publication
full work available at URL: j.amc.2007.11.048
OpenAlex ID: W2002237244
cites work: New integrable systems of derivative nonlinear Schrödinger equations with multiple components
cites work: Adjoint symmetry constraints of multicomponent AKNS equations.
cites work: A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system
cites work: Binary symmetry constraints of \(\mathcal N\)-wave interaction equations in \(1+1\) and \(2+1\) dimensions.
cites work: New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
cites work: C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy
cites work: A hierarchy of coupled Korteweg-de Vries equations and the normalisation conditions of the Hilbert-Riemann problem
cites work: Q4280871
cites work: Vector loop algebra and its applications to integrable system
cites work: New integrable couplings and Hamiltonian structure of the KN hierarchy and the DLW hierarchy
cites work: Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
cites work: Enlarging spectral problems to construct integrable couplings of soliton equations
cites work: Integrable couplings of vector AKNS soliton equations
DOI: 10.1016/J.AMC.2007.11.048
description: scientific article; zbMATH DE number 5342797