Recursion operators and classification of integrable nonlinear equations

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buir.advisorGürses, Metin
dc.contributor.authorBilen, Ergün
dc.date.accessioned2016-01-08T18:23:30Z
dc.date.available2016-01-08T18:23:30Z
dc.date.issued2012
dc.descriptionAnkara : The Department of Mathematics and the Graduate School of Engineering and Science of Bilkent University, 2012.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 2012.en_US
dc.descriptionIncludes bibliographical refences.en_US
dc.description.abstractRecursion operators, if they exist, of nonlinear partial differential equations map symmetries to symmetries of these equations. It is this property that the integrable nonlinear partial differential equations possess infinitely many symmetries. In this work we studied two other properties of recursion operators. We shall use the recursion operators as Lax operators in the Gelfand-Dikii formalism and to classify certain integrable equations.en_US
dc.description.provenanceMade available in DSpace on 2016-01-08T18:23:30Z (GMT). No. of bitstreams: 1 0006421.pdf: 440600 bytes, checksum: a08b15cd133c105eaabe2fc39bf8815e (MD5)en
dc.description.statementofresponsibilityBilen, Ergünen_US
dc.format.extentvii, 79 leavesen_US
dc.identifier.urihttp://hdl.handle.net/11693/15707
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectsymmetriesen_US
dc.subjectGelfand-Dikii formalismen_US
dc.subjectrecursion operatoren_US
dc.subjectclassificationen_US
dc.subject.lccQA372 .B54 2012en_US
dc.subject.lcshDifferential equations, Nonlinear.en_US
dc.subject.lcshSymmetry (Physics)en_US
dc.subject.lcshRecursion theory.en_US
dc.titleRecursion operators and classification of integrable nonlinear equationsen_US
dc.typeThesisen_US
thesis.degree.disciplineMathematics
thesis.degree.grantorBilkent University
thesis.degree.levelMaster's
thesis.degree.nameMS (Master of Science)

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