The semidirect sum of Lie algebras and its applications to C-KdV hierarchy
type: Item
instance of: scholarly article
title: The semidirect sum of Lie algebras and its applications to C-KdV hierarchy
zbMATH Open document ID: 1449.37048
DOI: 10.1155/2014/295068
author: Xia Dong
author: Tiecheng Xia
author: Desheng Li
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: By use of the loop algebra \(\overset\simeq G\), integrable coupling of C-KdV hierarchy and its bi-Hamiltonian structures are obtained by \textit{G. Tu} scheme [J. Math. Phys. 30, No. 2, 330--338 (1989; Zbl 0678.70015)] and the quadratic-form identity. The method can be used to produce the integrable coupling and its Hamiltonian structures to the other integrable systems.
Mathematics Subject Classification ID: 37K30
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K06
Mathematics Subject Classification ID: 17B80
zbMATH DE Number: 7022110
zbMATH Keywords: loop algebra
zbMATH Keywords: integrable coupling
zbMATH Keywords: Hamiltonian structures
zbMATH Keywords: quadratic-form identity
Wikidata QID: Q59037819
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/295068
OpenAlex ID: W2150822786
cites work: The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
cites work: Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
cites work: Semi-direct sums of Lie algebras and continuous integrable couplings
cites work: A Type of New Loop Algebra and a Generalized Tu Formula
cites work: The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
cites work: Integrable theory of the perturbation equations.
cites work: Multi-component C-KdV Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System
cites work: Integrable couplings of C-KdV equations hierarchy with self-consistent sources associated with \(\tilde{sl}(4)\)
cites work: Tri-integrable couplings by matrix loop algebras
description: scientific article; zbMATH DE number 7022110