Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0987.34078
Mazzocco, M.
Rational solutions of the Painlevé VI equation. (English)
[J] J. Phys. A, Math. Gen. 34, No.11, 2281-2294 (2001). ISSN 0305-4470

By using the isomonodromy deformation method, the author classifies all values of the parameters $\alpha,\beta,\gamma$ and $\delta$ of the Painlevé equation VI such that there are rational solutions. The author gives a formula for them up to the birational canonical transformations and the symmetries of the Painlevé VI equation.
[He Yuzan (Beijing)]

MSC 2000:: *34M55 Painlevé and other special equations
34M35 Singularities, monodromy, local behavior of solutions, normal forms
34M25 Formal solutions, transform techniques

Keywords: Painlevé equation; rational solution

Cited in: Zbl 1014.33013

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]