Second Painleve hierarchies : derivation and basic properties
Other Title(s)
التسلسلات الهرمية Painleve الثانية : الاشتقاق و خصائصه الأساسية
Dissertant
Thesis advisor
Comitee Members
Hijazi, Usamah Hashim
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
In this thesis we studied the derivation of the Modi ed Korteweg-de Vries hierarchy from Korteweg-de Vries hierarchy.
Then we derive the Flaschka-Newell second Painleve hierarchy from the Modi ed Korteweg-de Vries hierarchy.
Moreover we study Backlund transformations, special solutions, and Lax pair representation of Flaschka-Newell second Painleve hierarchy.
In addition we studied the derivation of Jimbo-Miwa second Painleve hierarchy as a reduction of a (2 + 1)-dimensional dispersive water wave non-isospectral hierarchy, and we derived some basic properties of this hierarchy such as Backlund transformations, special solutions, and we studied Lax pair representation.
Main Subjects
No. of Pages
50
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Flaschka-Newell second Painlev-e hierarchy.
Chapter Three : Jimbo-miwa second Painlev_e hierarchy.
References.
Conclusion
American Psychological Association (APA)
al-Madi, Inas Ibrahim Awdah. (2015). Second Painleve hierarchies : derivation and basic properties. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-611823
Modern Language Association (MLA)
al-Madi, Inas Ibrahim Awdah. Second Painleve hierarchies : derivation and basic properties. (Master's theses Theses and Dissertations Master). Islamic University. (2015).
https://search.emarefa.net/detail/BIM-611823
American Medical Association (AMA)
al-Madi, Inas Ibrahim Awdah. (2015). Second Painleve hierarchies : derivation and basic properties. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-611823
Language
English
Data Type
Arab Theses
Record ID
BIM-611823
