Solution surfaces and surfaces from a variotional principle
| buir.advisor | Gürses, Metin | |
| dc.contributor.author | Tek, Süleyman | |
| dc.date.accessioned | 2016-01-08T18:01:50Z | |
| dc.date.available | 2016-01-08T18:01:50Z | |
| dc.date.issued | 2007 | |
| dc.description | Ankara : The Department of Mathematics and the Institute of Engineering and Sciences of Bilkent University, 2007. | en_US |
| dc.description | Thesis (Ph.D.) -- Bilkent University, 2007. | en_US |
| dc.description | Includes bibliographical references leaves 93-96. | en_US |
| dc.description.abstract | In this thesis, we construct 2-surfaces in R 3 and in three dimensional Minkowski space (M3). First, we study the surfaces arising from modified Korteweg-de Vries (mKdV), Sine-Gordon (SG), and nonlinear Schr¨odinger (NLS) equations in R 3 . Second, we examine the surfaces arising from Korteweg-de Vries (KdV) and Harry Dym (HD) equations in M3. In both cases, there are some mKdV, NLS, KdV, and HD classes contain Willmore-like and algebraic Weingarten surfaces. We further show that some mKdV, NLS, KdV, and HD surfaces can be produced from a variational principle. We propose a method for determining the parametrization (position vectors) of the mKdV, KdV, and HD surfaces. | en_US |
| dc.description.provenance | Made available in DSpace on 2016-01-08T18:01:50Z (GMT). No. of bitstreams: 1 0003347.pdf: 882417 bytes, checksum: 59f3d13f1538befc707076cecf4d726b (MD5) | en |
| dc.description.statementofresponsibility | Tek, Süleyman | en_US |
| dc.format.extent | viii, 96 leaves | en_US |
| dc.identifier.uri | http://hdl.handle.net/11693/14545 | |
| dc.language.iso | English | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Soliton surfaces | en_US |
| dc.subject | integrable equations | en_US |
| dc.subject | shape equation | en_US |
| dc.subject | Weingarten surfaces | en_US |
| dc.subject | Willmore surfaces | en_US |
| dc.subject.lcc | QC174.26.W28 T45 2007 | en_US |
| dc.subject.lcsh | Solutions--Mathematics. | en_US |
| dc.title | Solution surfaces and surfaces from a variotional principle | en_US |
| dc.type | Thesis | en_US |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Bilkent University | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Ph.D. (Doctor of Philosophy) |
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