Weingarten surfaces arising from soliton theory
| buir.advisor | Gürses, Metin | |
| dc.contributor.author | Ceyhan, Özgür | |
| dc.date.accessioned | 2016-01-08T20:16:46Z | |
| dc.date.available | 2016-01-08T20:16:46Z | |
| dc.date.issued | 1999 | |
| dc.description | Ankara : Department of Mathematics and Institute of Engineering and Sciences, Bilkent University, 1999. | en_US |
| dc.description | Thesis (Master's) -- Bilkent University, 1999. | en_US |
| dc.description | Includes bibliographical references leaves 43-45. | en_US |
| dc.description.abstract | In this work we presented a method for constructing surfaces in associated with the symmetries of Gauss-Mainardi-Codazzi equations. We show that among these surfaces the sphere has a unique role. Under constant gauge transformations all integrable equations are mapped to a sphere. Furthermore we prove that all compact surfaces generated by symmetries of the sine-Gordon equation are homeomorphic to sphere. We also construct some Weingarten surfaces arising from the deformations of sine-Gordon, sinh-Gordon, nonlinear Schrödinger and modified Korteweg-de Vries equations. | en_US |
| dc.description.provenance | Made available in DSpace on 2016-01-08T20:16:46Z (GMT). No. of bitstreams: 1 1.pdf: 78510 bytes, checksum: d85492f20c2362aa2bcf4aad49380397 (MD5) | en |
| dc.description.statementofresponsibility | Ceyhan, Özgür | en_US |
| dc.format.extent | viii, 45 leaves | en_US |
| dc.identifier.uri | http://hdl.handle.net/11693/18161 | |
| dc.language.iso | English | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Solitons | en_US |
| dc.subject | integrable surfaces | en_US |
| dc.subject | Weingarten surfaces | en_US |
| dc.subject.lcc | QC174.26.W28 C49 1999 | en_US |
| dc.subject.lcsh | Solitons--Mathematics. | en_US |
| dc.subject.lcsh | Differential equations, Nonlinear--Numerical solitons. | en_US |
| dc.subject.lcsh | Geometry, Algebraic. | en_US |
| dc.subject.lcsh | Mathematical solitons. | en_US |
| dc.title | Weingarten surfaces arising from soliton theory | en_US |
| dc.type | Thesis | en_US |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Bilkent University | |
| thesis.degree.level | Master's | |
| thesis.degree.name | MS (Master of Science) |
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