On scaling reductions and Painlevé Hierarchies
Other Title(s)
حول الاختزال المتدرج و هرميات بانليفة
Dissertant
Thesis advisor
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2017
English Abstract
In this thesis we study scaling reduction of hierarchies of partial differential equations.
We use scaling reduction of the Korteweg de Vries (KdV) to derive a thirty-fourth Painlev´e hierarchy and we derive a fourth Painlev´e hierarchy by scaling reduction of dispersive water wave (DWW).
We also study generalized scaling reductions of Burgers hierarchy.
Moreover we consider the mapping of nonisospectral KdV and DWW hierarchies onto isospectral KdV and DWW hierarchies.
Main Subjects
No. of Pages
59
Table of Contents
al-Saqqa, Ayman Hashim
Abstract.
Introduction.
Chapter One : Scaling reduction.
Chapter Two : Scaling reductions and painlev´e hierarchies.
Chapter Three : Nonisospectral scattering problems and scaling reductions.
References.
American Psychological Association (APA)
Barakat, Asma S.. (2017). On scaling reductions and Painlevé Hierarchies. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901168
Modern Language Association (MLA)
Barakat, Asma S.. On scaling reductions and Painlevé Hierarchies. (Master's theses Theses and Dissertations Master). Islamic University. (2017).
https://search.emarefa.net/detail/BIM-901168
American Medical Association (AMA)
Barakat, Asma S.. (2017). On scaling reductions and Painlevé Hierarchies. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901168
Language
English
Data Type
Arab Theses
Record ID
BIM-901168
