The bi-integrable couplings of two-component Casimir-Qiao-Liu type hierarchy and their Hamiltonian structures
type: Item
instance of: scholarly article
title: The bi-integrable couplings of two-component Casimir-Qiao-Liu type hierarchy and their Hamiltonian structures
zbMATH Open document ID: 1361.35046
DOI: 10.1155/2016/6347961
author: Juhui Zhang
author: Yu-Qin Yao
published in: Advances in Mathematical Physics
publication date: 2017-01-17T00:00:00Z
review text: Summary: A new type of two-component Casimir-Qiao-Liu type hierarchy (2-CQLTH) is produced from a new spectral problem and their bi-Hamiltonian structures are constructed. Particularly, a new completely integrable two-component Casimir-Qiao-Liu type equation (2-CQLTE) is presented. Furthermore, based on the semidirect sums of matrix Lie algebras consisting of \(3 \times 3\) block matrix Lie algebra, the bi-integrable couplings of the 2-CQLTH are constructed and their bi-Hamiltonian structures are furnished.
Mathematics Subject Classification ID: 35G55
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 6675480
zbMATH Keywords: bi-Hamiltonian structures
zbMATH Keywords: bi-integrable couplings
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/6347961
OpenAlex ID: W2510317476
Wikidata QID: Q59122534
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description: scientific article; zbMATH DE number 6675480