A scheme for generating nonisospectral integrable hierarchies and its related applications
type: Item
instance of: scholarly article
title: A scheme for generating nonisospectral integrable hierarchies and its related applications
zbMATH Open document ID: 1480.35365
author: Xiangzhi Zhang
author: Yu-Feng Zhang
publication date: 2021-07-28T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35Q84
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35R03
zbMATH DE Number: 7375666
zbMATH Keywords: nonisospectral integrable Schrödinger hierarchy
zbMATH Keywords: expanding integrable model
zbMATH Keywords: symmetry group
MaRDI profile type: Publication
full work available at URL: s10114-021-0392-8
OpenAlex ID: W3161707124
cites work: Q3925229
cites work: The symmetry groups of linear partial differential equations and representation theory. I
cites work: Lie group symmetries as integral transforms of fundamental solutions
cites work: Symmetry group methods for fundamental solutions
cites work: Non-Isospectral 1+1 Hierarchies Arising from a Camassa Holm Hierarchy in 2+1 Dimensions
cites work: Miura-reciprocal transformations for non-isospectral Camassa-Holm hierarchies in 2 + 1 dimensions
cites work: An exact solution for a derivative nonlinear Schrödinger equation
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: An approach for constructing nonisospectral hierarchies of evolution equations
cites work: Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
cites work: Q3679549
cites work: Q4273954
cites work: An inverse design method for non-uniform flow inlet with a given shock wave
cites work: An integrable system and associated integrable models as well as Hamiltonian structures
cites work: The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
cites work: A trace identity and its application to integrable systems of 1 + 2 dimensions
cites work: A method for generating isospectral and nonisospectral hierarchies of equations as well as symmetries
cites work: Generation of Nonlinear Evolution Equations by Reductions of the Self-Dual Yang—Mills Equations
cites work: Two \((2+1)\)-dimensional hierarchies of evolution equations and their Hamiltonian structures
cites work: Solitons, periodic waves, breathers and integrability for a nonisospectral and variable-coefficient fifth-order Korteweg-de Vries equation in fluids
DOI: 10.1007/S10114-021-0392-8
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 7375666