Two new hierarchies containing the sine-Gordon and sinh-Gordon equation, and their Lax representations

Zhijun Qiao

Physica A: Statistical Mechanics and its Applications, 1997, vol. 243, issue 1, 141-151

Abstract: An approach for obtaining a new Lax pair from a given old Lax pair is proposed, and two hierarchies of nonlinear evolution equations, which include the well-known sine-Gordon and sinh-Gordon equation, are presented in this article. By the use of the general structure of commutator representations, the Lax representations of the two new hierarchies are obtained. Particularly, the new Lax pairs of the sine-Gordon and sinh-Gordon equation are given. All of these Lax representations are of operator form.

Date: 1997
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437197002677
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:243:y:1997:i:1:p:141-151

DOI: 10.1016/S0378-4371(97)00267-7

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 ().