Bâcklund transformations of Painleve equations and discrete equations of Painleve type
Date
2004
Authors
Editor(s)
Advisor
Muğan, Uğurhan
Supervisor
Co-Advisor
Co-Supervisor
Instructor
BUIR Usage Stats
3
views
views
12
downloads
downloads
Series
Abstract
With the help of the Schlesinger transformations, we obtain the B¨acklund transformations of the classical continuous Painlev´e equations (PII-PVI). Then using these B¨acklund transformations we derived the corresponding discrete equations. The main idea in obtaining these equations is to eliminate y 0 from the B¨acklund transformations, Ti and Tj , in such a way that Ti ◦ Tj = Tj ◦ Ti = I. Then we obtain an algebraic relation between yi , y and yj . This algebraic relation can be considered as as a discrete equation of the Painlev´e type.
Source Title
Publisher
Course
Other identifiers
Book Title
Degree Discipline
Mathematics
Degree Level
Master's
Degree Name
MS (Master of Science)
Citation
Permalink
Published Version (Please cite this version)
Collections
Language
English