Bâcklund transformations of Painleve equations and discrete equations of Painleve type
| buir.advisor | Muğan, Uğurhan | |
| dc.contributor.author | Tosun, Kürşad | |
| dc.date.accessioned | 2016-07-01T11:01:21Z | |
| dc.date.available | 2016-07-01T11:01:21Z | |
| dc.date.issued | 2004 | |
| dc.department | Department of Mathematics | en_US |
| dc.description | Cataloged from PDF version of article. | en_US |
| dc.description.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. | en_US |
| dc.description.degree | M.S. | en_US |
| dc.description.statementofresponsibility | Tosun, Kürşad | en_US |
| dc.format.extent | vii, 72 leaves | en_US |
| dc.identifier.itemid | BILKUTUPB084146 | |
| dc.identifier.uri | http://hdl.handle.net/11693/29558 | |
| dc.language.iso | English | en_US |
| dc.publisher | Bilkent University | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Painlev´e Equation | en_US |
| dc.subject | Discrete Painlev´e Equations | en_US |
| dc.subject | Schlesinger Transformation | en_US |
| dc.subject | B¨acklund Transformation | en_US |
| dc.subject.lcc | QC20.7.D5 T67 2004 | en_US |
| dc.subject.lcsh | Painleve equations. | en_US |
| dc.title | Bâcklund transformations of Painleve equations and discrete equations of Painleve type | en_US |
| dc.type | Thesis | en_US |
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