A super-soliton hierarchy and its super-Hamiltonian structure
type: Item
instance of: scholarly article
title: A super-soliton hierarchy and its super-Hamiltonian structure
zbMATH Open document ID: 1177.37073
author: Zhu Li
author: Huan-He Dong
author: Hong-Wei Yang
published in: International Journal of Theoretical Physics
publication date: 2009-09-25T00:00:00Z
review text: The authors investigate a super-soliton hierarchy and its super-Hamiltonian structure based on Lie-super-algebra and associated super-trace identity by using conclusions of \textit{W.-X. Ma, J.-S. He} and \textit{Z.-Y. Qin} in [J. Math. Phys. 49, No. 3, 033511, 13 p. (2008; Zbl 1153.81398)].
Mathematics Subject Classification ID: 37K30
Mathematics Subject Classification ID: 17B01
zbMATH DE Number: 5607470
zbMATH Keywords: Lie superalgebra
zbMATH Keywords: supertrace identity
zbMATH Keywords: superintegrable system
zbMATH Keywords: super-Hamiltonian structure
zbMATH Keywords: stationary zero curvature equation
reviewed by: Chuangan Hu
MaRDI profile type: Publication
full work available at URL: s10773-009-9995-z
OpenAlex ID: W2046823901
cites work: The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
cites work: A trace identity and its applications to the theory of discrete integrable systems
cites work: Q3989800
cites work: Q4500022
cites work: Q4514978
cites work: A generalized Boite-Pempinelli-Tu (BPT) hierarchy and its bi-Hamiltonian structure
cites work: A powerful approach to generate new integrable systems
cites work: A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem
cites work: Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
cites work: The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
cites work: A supertrace identity and its applications to superintegrable systems
DOI: 10.1007/S10773-009-9995-Z
description: scientific article; zbMATH DE number 5607470