Backlund transformation for discrete Painleve equations
Dissertant
Thesis advisor
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2007
English Abstract
In this thesis we studied an algorithmic method for investigating transformation properties of discrete Pain eve equations.
This method yields explicit transformations which relates the solutions of a given discrete Pain eve equation with either the solutions of another discrete Pain eve equation or the same equation but with di® erent value of parameters.
We applied the method to the second, third, fourth, and ¯fth discrete Pain eve equation. Moreover we studied special solutions of these equations.
Some of these special solutions are given in terms of discrete analogue of the classical special functions.
Main Subjects
No. of Pages
45
Table of Contents
Contents.
Abstract.
Chapter 1 : Introduction.
Discrete painlevle II equation.
Chapter 3 : q-discrete painlevle II equation.
Chapter 4 : q-discrete painlevle III equation.
Chapter 5 : Discrete painlevle IV equation.
Chapter 6 : Discrete painlevle V equation.
American Psychological Association (APA)
Abu Mughisieb, Ashraf A. M.. (2007). Backlund transformation for discrete Painleve equations. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-299344
Modern Language Association (MLA)
Abu Mughisieb, Ashraf A. M.. Backlund transformation for discrete Painleve equations. (Master's theses Theses and Dissertations Master). Islamic University. (2007).
https://search.emarefa.net/detail/BIM-299344
American Medical Association (AMA)
Abu Mughisieb, Ashraf A. M.. (2007). Backlund transformation for discrete Painleve equations. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-299344
Language
English
Data Type
Arab Theses
Record ID
BIM-299344
