Integrable systems on regular time scales

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buir.advisorGürses, Metin
dc.contributor.authorYantır, Burcu Silindir
dc.date.accessioned2016-01-08T18:09:41Z
dc.date.available2016-01-08T18:09:41Z
dc.date.issued2009
dc.departmentDepartment of Mathematicsen_US
dc.descriptionAnkara : The Department of Mathematics and the Institute of Engineering and Science of Bilkent University, 2009.en_US
dc.descriptionThesis (Ph.D.) -- Bilkent University, 2009.en_US
dc.descriptionIncludes bibliographical references leaves 98-102.en_US
dc.description.abstractWe present two approaches to unify the integrable systems. Both approaches are based on the classical R-matrix formalism. The first approach proceeds from the construction of (1 + 1)-dimensional integrable ∆-differential systems on regular time scales together with bi-Hamiltonian structures and conserved quantities. The second approach is established upon the general framework of integrable discrete systems on R and integrable dispersionless systems. We discuss the deformation quantization scheme for the dispersionless systems. We also apply the theories presented in this dissertation, to several well-known examples.en_US
dc.description.degreePh.D.en_US
dc.description.statementofresponsibilityYantır, Burcu Silindiren_US
dc.format.extentviii, 102 leavesen_US
dc.identifier.urihttp://hdl.handle.net/11693/14860
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectIntegrable systemsen_US
dc.subjectregular time scaleen_US
dc.subjectR-matrix formalismen_US
dc.subjectbiHamiltonian structuresen_US
dc.subjectconserved quantitiesen_US
dc.subjectdispersionless systemsen_US
dc.subjectdeformation quantization schemeen_US
dc.subject.lccQA614.8 .Y35 2009en_US
dc.subject.lcshDifferentiable dynamical systems.en_US
dc.subject.lcshHamiltonian systems.en_US
dc.titleIntegrable systems on regular time scalesen_US
dc.typeThesisen_US

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