The Isomonodromic Deformation Method in the Theory of Painlevé Equations / by Alexander R. Its, Victor Yu. Novokshenov.

Format:

Book

Author/Creator:

Its, Alexander R., author.

Novokshenov, V. I︠U︡., author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1191.

Lecture Notes in Mathematics, 0075-8434 ; 1191

Language:

English

Subjects (All):

Global analysis (Mathematics).

Analysis.

Theoretical, Mathematical and Computational Physics.

Local Subjects:

Analysis.

Theoretical, Mathematical and Computational Physics.

Physical Description:

1 online resource (CCCXX, 314 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1986.

System Details:

text file PDF

Contents:

Monodromy data for the systems of linear ordinary differential equations with rational coefficients

Isomonodromic deformations of systems of linear ordinary differential equations with rational coefficients

Isomonodromic deformations of systems (1.9) and (1.26) and painlevé equations of II and III types

Inverse problem of the monodromy theory for the systems (1.9) and (1.26). Asymptotic analysis of integral equations of the inverse problem

Asymptotic solution to a direct problem of the monodromy theory for the system (1.9)

Asymptotic solution to a direct problem of the monodromy theory for the system (1.26)

The manifold of solutions of painlevé II equation decreasing as ? ? ??. Parametrization of their asymptotics through the monodromy data. Ablowitz-segur connection formulae for real-valued solutions decreasing exponentially as ? ? + ?

The manifold of solutions to painlevé III equation. The connection formulae for the asymptotics of real-valued solutions to the cauchy problem

The manifold of solutions to painlevé II equation increasing as ? ? + ?. The expression of their asymptotics through the monodromy data. The connection formulae for pure imaginary solutions

The movable poles of real-valued solutions to painlevé II equation and the eigenfunctions of anharmonic oscillator

The movable poles of the solutions of painlevé III equation and their connection with mathifu functions

Large-time asymptotics of the solution of the cauchy problem for MKdV equation

The dynamics of electromagnetic impulse in a long laser amplifier

The scaling limit in two-dimensional ising model

Quasiclassical mode of the three-dimensional wave collapse.

Other Format:

Printed edition:

ISBN:

9783540398233

Access Restriction:

Restricted for use by site license.