Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0719.34014
Novokshënov, V.Yu.
The Boutroux ansatz for the second Painlevé equation in the complex domain. (Russian)
[J] Izv. Akad. Nauk SSSR, Ser. Mat. 54, No.6, 1229-1251 (1990). ISSN 0373-2436

The author obtains an asymptotic representation of the general solution of the second Painlevé equation in a sector of the complex z-plane. In order to solve the problem the author uses the isomonodromic deformation method developed in a previous work [{\it A. R. Its} and the author, Isomonodromic deformation method in the theory of Painlevé equations. Lect. Notes in Math., 1191. Berlin (1986; Zbl 0592.34001)] for the real line. The main member of the presentation is an elliptic function, while in the real case it is either a trigonometric or a hyperbolic function.
[N.V.Grigorenko (Kiev)]

MSC 2000:: *34M55 Painlevé and other special equations
34E05 Asymptotic expansions (ODE)
30D05 Functional equations in the complex domain
34E20 Asymptotic singular perturbations, methods (ODE)

Keywords: asymptotic representation; second Painlevé equation; isomonodromic deformation method

Citations: Zbl 0592.34001

Cited in: Zbl 0739.34007

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