Lax matrix and a generalized coupled KdV hierarchy

Xuemei Li and Xianguo Geng

Physica A: Statistical Mechanics and its Applications, 2003, vol. 327, issue 3, 357-370

Abstract: Based on the study of the confocal Lax matrix, new confocal involutive systems and a new spectral problem are proposed from which a hierarchy of generalized coupled KdV equations is derived. The Abel–Jacobi coordinates are introduced to straighten out the associated flows. Algebro-geometric solutions of the generalized coupled KdV soliton equations are obtained with the help of Jacobi inversion. A generating function approach is used to prove the involutivity and the functional independence of the conserved integrals.

Date: 2003
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437103002607
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:327:y:2003:i:3:p:357-370

DOI: 10.1016/S0378-4371(03)00260-7

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 ().