On one-parameter families of Painleve III

Mansfield, Elizabeth L., Webster, Helen N. (1998) On one-parameter families of Painleve III. Studies in Applied Mathematics, 101 (3). pp. 321-341. ISSN 0022-2526. (doi:10.1111/1467-9590.00096) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:17436)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL: http://dx.doi.org/10.1111/1467-9590.00096

Abstract

Albrecht, Mans field, arid Milne developed a direct method with which one can calculate special integrals of polynomial type (also known as one parameter family conditions, Darboux polynomials, eigenpolynomials, or algebraic invariant curves) for nonlinear ordinary differential equations of polynomial type. We apply this method to the third Painleve equation and prove that for the generic case, the set of known one-parameter family conditions is complete.

Item Type:	Article
DOI/Identification number:	10.1111/1467-9590.00096
Subjects:	Q Science Q Science > QA Mathematics (inc Computing science)
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Elizabeth Mansfield
Date Deposited:	02 Apr 2009 23:30 UTC
Last Modified:	05 Nov 2024 09:53 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/17436 (The current URI for this page, for reference purposes)

University of Kent Author Information

Mansfield, Elizabeth L..

Creator's ORCID:	https://orcid.org/0000-0002-6778-2241
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