Generalized Heisenberg equations and bi-Hamiltonian structures
type: Item
instance of: scholarly article
title: Generalized Heisenberg equations and bi-Hamiltonian structures
zbMATH Open document ID: 1543.35186
author: Yihao Li
author: Minxin Jia
author: Jiao Wei
published in: Applied Mathematics Letters
publication date: 2024-05-17T00:00:00Z
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35Q82
Mathematics Subject Classification ID: 82D40
Mathematics Subject Classification ID: 37K15
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 35L40
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 7850530
zbMATH Keywords: generalized Heisenberg equations
zbMATH Keywords: Hamiltonian structures
zbMATH Keywords: conservation laws
MaRDI profile type: Publication
cites work: Solitons and condensed matter physics. Proceedings of the symposium on nonlinear (soliton) structure and dynamics in condensed matter. Oxford, England, June 27-29, 1978
cites work: Q3829919
cites work: A finite-dimensional integrable system and the involutive solutions of the higher-order Heisenberg spin chain equations
cites work: Nonlinearization of the Lax system for AKNS hierarchy
cites work: Darboux transformation and soliton solutions for the Heisenberg hierarchy
cites work: Parametric representation of the finite-band solution of the Heisenberg equation
cites work: Complex form, reduction and Lie-Poisson structure for the nonlinearized spectral problem of the Heisenberg hierarchy
cites work: Gauge transformation between the first-order nonisospectral and isospectral Heisenberg hierarchies
cites work: New integrable nonlinear evolution equations
cites work: An extension of integrable peakon equations with cubic nonlinearity
cites work: A three-component generalization of Camassa-Holm equation with \(N\)-peakon solutions
cites work: The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws
cites work: The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
cites work: Hamiltonian structure of discrete soliton systems
cites work: The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
cites work: A coupled AKNS–Kaup–Newell soliton hierarchy
DOI: 10.1016/J.AML.2024.108999
description: scientific article; zbMATH DE number 7850530