Isomonodromy problems and painleve hierarchies

Dissertant

al-Misri, Hibah Shawqi Diyab

Thesis advisor

al-Saqqa, Iman Hashim

Comitee Members

Subuh, Ayman Mahmud
al-Shami, Sfjan Robin

University

Islamic University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2014

English Abstract

-In this thesis we show that the expansion of linear problems of the Painleve equation in powers of the spectral variable can be used to derive hierarchies of ordinary di erential equations.

We study the derivation of the rst and second Painleve hierarchy from scalar isomonodromy problems.

Moreover, we will give some special solutions of the second Painleve hierarchy.

After this, we study the derivation of the rst, second, third and fourth Painleve hierarchy from matrix isomonodromy problems.

Moreover, we will study some special solutions of the hierarchies of the third and fourth painleve equations.

Main Subjects

Mathematics

Topics

• Differential equations

No. of Pages

57

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-532114