The multi-component coupled Burgers hierarchy of soliton equations and its multi-component integrable couplings system with two arbitrary functions

Tiecheng Xia, Fajun Yu and Yi Zhang

Physica A: Statistical Mechanics and its Applications, 2004, vol. 343, issue C, 238-246

Abstract: A new loop algebra G˜M is constructed, which is devoted to establishing an isospectral problem. By making use of Tu scheme, the multi-component coupled Burgers hierarchy is obtained. Furthermore, an expanding loop algebra F˜M of the loop algebra G˜M is presented. It follows that the multi-component integrable coupling system of the multi-component coupled Burgers hierarchy is worked out. In general, the method can be applied to other evolution equations hierarchies.

Keywords: Coupled Burgers hierarchy; Multi-component coupled Burgers hierarchy; Loop algebra; Multi-component integrable couplings system (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437104008684
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:eee:phsmap:v:343:y:2004:i:c:p:238-246

DOI: 10.1016/j.physa.2004.06.070

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().