A New Approach for Generating the TX Hierarchy as well as Its Integrable Couplings

Guangming Wang

Abstract and Applied Analysis, 2014, vol. 2014, 1-6

Abstract:

Tu Guizhang and Xu Baozhi once introduced an isospectral problem by a loop algebra with degree being , for which an integrable hierarchy of evolution equations (called the TX hierarchy) was derived under the frame of zero curvature equations. In the paper, we present a loop algebra whose degrees are and to simply represent the above isospectral matrix and easily derive the TX hierarchy. Specially, through enlarging the loop algebra with 3 dimensions to 6 dimensions, we generate a new integrable coupling of the TX hierarchy and its corresponding Hamiltonian structure.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2014/357621.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2014/357621.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:357621

DOI: 10.1155/2014/357621

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().