Zero curvature representation, bi-Hamiltonian structure, and an integrable hierarchy for the Zakharov-Ito system
type: Item
instance of: scholarly article
title: Zero curvature representation, bi-Hamiltonian structure, and an integrable hierarchy for the Zakharov-Ito system
zbMATH Open document ID: 1318.37012
DOI: 10.1063/1.4922361
author: Mathew Baxter
author: S. Roy Choudhury
author: Robert A. Van Gorder
published in: Journal of Mathematical Physics
publication date: 2015-07-27T00:00:00Z
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6464943
zbMATH Keywords: bi-Hamiltonian structure
zbMATH Keywords: integrable hierarchy
zbMATH Keywords: Zakharov-Ito system
zbMATH Keywords: Lenard recursion sequence
zbMATH Keywords: zero curvature representation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1063/1.4922361
OpenAlex ID: W1923663980
cites work: Systematic method of generating new integrable systems via inverse Miura maps
cites work: Two-component integrable systems modelling shallow water waves: the constant vorticity case
cites work: Classification of polynomial integrable systems of mixed scalar and vector evolution equations: I
cites work: New examples of the auto-Bäcklund transformations and nonlinear superposition formulas for vector evolution systems
cites work: Commutator representation of isospectral equations
cites work: The algebraic structures of isospectral Lax operators and applications to integrable equations
cites work: Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations
cites work: A general approach for getting the commutator representations of the hierarchies of nonlinear evolution equations
cites work: Q4894085
cites work: On Liouville integrability of zero-curvature equations and the Yang hierarchy
cites work: The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
cites work: A new hierarchy of integrable systems and its Hamiltonian structure
cites work: Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
cites work: A supertrace identity and its applications to superintegrable systems
cites work: Coupled KdV equations with multi-Hamiltonian structures
description: scientific article; zbMATH DE number 6464943