On Schlesinger transformations for third painlevé hierarchy
Other Title(s)
تحويلات شليسنجر لهرمية بانليفة الثالثة
Dissertant
Abu Khalil, Shuma Muslim Sulayman
Thesis advisor
Comitee Members
Abu Hani, Ata Abd al-Qadir
al-Shami, Sfjan Robin
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2015
English Abstract
The main objective of this thesis is to study the Schlesinger transformations of first, second and third members of third Painlev´e hierarchy.
We have calculated Schlesinger transformations for these equations, which transform a solution of the given equation to another solution of the same equation but with a different values of the parameters.
Using Schlesinger transformations, we obtained the corresponding B¨acklund transformations for each of the considered equations.
Finally, we discussed some special solutions of the second member of third Painlev´e hierarchy.
Main Subjects
Topics
No. of Pages
60
Table of Contents
Table of contents.
Abstract.
Chapter One : Introduction.
Chapter Two : Preliminaries.
Chapter Three : Schlesinger transformations for the first member of PIII hierarchy.
Chapter Four : Schlesinger transformations for the second member for PIII hierarchy.
Chapter Five : Schlesinger transformations for the third member of PIII hierarchy.
References.
American Psychological Association (APA)
Abu Khalil, Shuma Muslim Sulayman. (2015). On Schlesinger transformations for third painlevé hierarchy. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-617758
Modern Language Association (MLA)
Abu Khalil, Shuma Muslim Sulayman. On Schlesinger transformations for third painlevé hierarchy. (Master's theses Theses and Dissertations Master). Islamic University. (2015).
https://search.emarefa.net/detail/BIM-617758
American Medical Association (AMA)
Abu Khalil, Shuma Muslim Sulayman. (2015). On Schlesinger transformations for third painlevé hierarchy. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-617758
Language
English
Data Type
Arab Theses
Record ID
BIM-617758
