Derivation of expanded isospectral-nonisospectral integrable hierarchies via the column-vector loop algebra
type: Item
instance of: scholarly article
title: Derivation of expanded isospectral-nonisospectral integrable hierarchies via the column-vector loop algebra
zbMATH Open document ID: 1547.37083
author: Haifeng Wang
author: Yufeng Zhang
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2024-07-02T00:00:00Z
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K06
Mathematics Subject Classification ID: 37K30
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 17B80
zbMATH DE Number: 7874586
zbMATH Keywords: integrable hierarchies
zbMATH Keywords: column-vector loop algebra
zbMATH Keywords: bi-Hamiltonian structure
zbMATH Keywords: symmetry
MaRDI profile type: Publication
cites work: Q3925229
cites work: The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
cites work: On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
cites work: Nonisospectral Flows on Semi-infinite Jacobi Matrices
cites work: A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions
cites work: Moment modification, multipeakons, and nonisospectral generalizations
cites work: Multicomponent equations associated to non-isospectral scattering problems
cites work: Q4003380
cites work: Non-Isospectral 1+1 Hierarchies Arising from a Camassa Holm Hierarchy in 2+1 Dimensions
cites work: Nonisospectral scattering problems: A key to integrable hierarchies
cites work: On a new non-isospectral variant of the Boussinesq hierarchy
cites work: New 2+1 dimensional nonisospectral Toda lattice hierarchy
cites work: The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
cites work: An exact solution for a derivative nonlinear Schrödinger equation
cites work: Q4866648
cites work: Q4304304
cites work: Non-isospectral deformations and Darboux transformations for the third-order spectral problem
cites work: New set of symmetries of the integrable equations, Lie algebra and non-isospectral evolution equations. II. AKNS system
cites work: Q3967898
cites work: Q4016078
cites work: K symmetries and tau symmetries of evolution equations and their Lie algebras
cites work: Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
cites work: Q3966802
cites work: Q4537527
cites work: Nonisospectral integrable nonlinear equations with external potentials and their GBDT solutions
cites work: The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
cites work: A kind of nonisospectral and isospectral integrable couplings and their Hamiltonian systems
cites work: An integrable coupling hierarchy of the MKdV\_integrable systems, its Hamiltonian structure and corresponding nonisospectral integrable hierarchy
cites work: Construction of higher-dimensional nonlinear integrable systems and of their solutions
cites work: A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
cites work: A method for generating isospectral and nonisospectral hierarchies of equations as well as symmetries
cites work: A few continuous and discrete dynamical systems
cites work: A few integrable systems and spatial spectral transformations
cites work: APPLICATIONS OF THE LIE ALGEBRA gl(2)
DOI: 10.1007/S10255-024-1047-1
description: scientific article; zbMATH DE number 7874586