On a class of special solutions of the Painlevé equations

T Tamizhmani, B Grammaticos, A Ramani and K.m Tamizhmani

Physica A: Statistical Mechanics and its Applications, 2001, vol. 295, issue 3, 359-370

Abstract: We present a class of special solutions for continuous, discrete and q-discrete Painlevé equations. These solutions are expressed through quadratures or their discrete equivalents. The condition for their existence is a further constraint on the conditions for the existence of other special, linearisable, solutions of Painlevé equations. Thus, these solutions exist for equations that have at least two parameters. In most cases, the special solutions are expressed in terms of functions defined through quadratures.

Keywords: Painlevé equations; Discrete; q-discrete; Special solutions (search for similar items in EconPapers)
Date: 2001
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437101000401
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:295:y:2001:i:3:p:359-370

DOI: 10.1016/S0378-4371(01)00040-1

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 ().