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Isomonodromy problems and painleve hierarchies
Dissertant
Thesis advisor
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
Topics
No. of Pages
57
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Scalar isomonodromy problems and painleve hierarichies.
Chapter Three : Matrix isomonodromy problems and painleve hierarichies.
Chapter Four : Discussion and Conclusions.
References.
American Psychological Association (APA)
al-Misri, Hibah Shawqi Diyab. (2014). Isomonodromy problems and painleve hierarchies. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-532114
Modern Language Association (MLA)
al-Misri, Hibah Shawqi Diyab. Isomonodromy problems and painleve hierarchies. (Master's theses Theses and Dissertations Master). Islamic University. (2014).
https://search.emarefa.net/detail/BIM-532114
American Medical Association (AMA)
al-Misri, Hibah Shawqi Diyab. (2014). Isomonodromy problems and painleve hierarchies. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-532114
Language
English
Data Type
Arab Theses
Record ID
BIM-532114