Two expanding integrable systems of the GI soliton hierarchy and a generalized GI hierarchy with self-consistent sources as well as its extension form
type: Item
instance of: scholarly article
title: Two expanding integrable systems of the GI soliton hierarchy and a generalized GI hierarchy with self-consistent sources as well as its extension form
zbMATH Open document ID: 1221.37127
author: Xiurong Guo
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2011-09-23T00:00:00Z
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 17B80
Mathematics Subject Classification ID: 37K30
zbMATH DE Number: 5949938
zbMATH Keywords: integrable system
zbMATH Keywords: GI hierarchy
zbMATH Keywords: Lie algebra
MaRDI profile type: Publication
full work available at URL: j.cnsns.2009.02.018
OpenAlex ID: W2017369758
cites work: Integrable theory of the perturbation equations.
cites work: A new loop algebra and its subalgebras
cites work: A direct method for integrable couplings of TD hierarchy
cites work: A higher-dimensional Lie algebra and its decomposed subalgebras
cites work: A few expanding Lie algebras of the Lie algebra \(A_1\) and applications
cites work: Discrete integrable couplings associated with Toda-type lattice and two hierarchies of discrete soliton equations
cites work: Semi-direct sums of Lie algebras and continuous integrable couplings
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: Two unified formulae
cites work: HAMILTONIAN STRUCTURES OF TWO INTEGRABLE COUPLINGS OF THE MODIFIED AKNS HIERARCHY
cites work: Integration of the soliton hierarchy with self-consistent sources
DOI: 10.1016/J.CNSNS.2009.02.018
description: scientific article; zbMATH DE number 5949938