Sinh-Gordon equation, Painlevé property and Bäcklund transformation

A. Grauel

Physica A: Statistical Mechanics and its Applications, 1985, vol. 132, issue 2, 557-568

Abstract: The Painlevé property for partial differential equation proposed by Weiss et al. is studied for the sinh-Gordon equation. We performed a singular point analysis to show that the Painlevé property is a valuable analytical test for integrability and we found in a remarkably straightforward manner the Bäcklund transformation of the sinh-Gordon equation.

Date: 1985
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437185900275
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:132:y:1985:i:2:p:557-568

DOI: 10.1016/0378-4371(85)90027-5

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 ().