The solvability of PVI equation and second-order second-degree Painleve type equations

buir.advisorMuğan, Uğurhan
dc.contributor.authorSakka, Ayman
dc.date.accessioned2016-01-08T20:20:23Z
dc.date.available2016-01-08T20:20:23Z
dc.date.issued1998
dc.descriptionAnkara : Department of Mathematics and Institute of Engineering and Sciences, Bilkent Univ., 1998.en_US
dc.descriptionThesis (Ph.D.) -- Bilkent University, 1998.en_US
dc.descriptionIncludes bibliographical references leaves 82-84.en_US
dc.description.abstractA rigorous method was introduced by Fokas and Zhou for studying the Riernaiin-Hilhert problem associated with the Painleve II and IV. The same methodology has been applied to Painleve I, III and V. In this thesis, we applied the same methodology to the Painleve VI equation. VVe showed that The Cauchy problem for the Painleve VI equation admits in general global meromorphic solution in /. Furthermore, a. special solution which can lie written in terms of hypergeometric function is obtained via sob’ing the special case of the Riemann-Hilbert problem. Moreover, an algorithmic method introduced by Fokas and Ablowitz to investigate the transformation properties of Painleve equations and a generalization of it are used to obtain one-to-one correspondence between the Painleve equations and the second-ord(U‘ seconddegree equations of Painleve type.en_US
dc.description.provenanceMade available in DSpace on 2016-01-08T20:20:23Z (GMT). No. of bitstreams: 1 1.pdf: 78510 bytes, checksum: d85492f20c2362aa2bcf4aad49380397 (MD5)en
dc.description.statementofresponsibilitySakka, Aymanen_US
dc.format.extentviii, 84 leavesen_US
dc.identifier.urihttp://hdl.handle.net/11693/18558
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPainlcvc Equationsen_US
dc.subjectMonodrorny Dataen_US
dc.subjectRitrnaiin-Hilbcrt ProhItrnen_US
dc.subjectPainleve Type Equationsen_US
dc.subject.lccQC20.7.D5 S25 1998en_US
dc.subject.lcshPainleve equations.en_US
dc.subject.lcshPainleve equations--Numerical solutions.en_US
dc.titleThe solvability of PVI equation and second-order second-degree Painleve type equationsen_US
dc.typeThesisen_US
thesis.degree.disciplineMathematics
thesis.degree.grantorBilkent University
thesis.degree.levelDoctoral
thesis.degree.namePh.D. (Doctor of Philosophy)

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