Ceyhan, Özgür2016-01-082016-01-081999http://hdl.handle.net/11693/18161Ankara : Department of Mathematics and Institute of Engineering and Sciences, Bilkent University, 1999.Thesis (Master's) -- Bilkent University, 1999.Includes bibliographical references leaves 43-45.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.viii, 45 leavesEnglishinfo:eu-repo/semantics/openAccessSolitonsintegrable surfacesWeingarten surfacesQC174.26.W28 C49 1999Solitons--Mathematics.Differential equations, Nonlinear--Numerical solitons.Geometry, Algebraic.Mathematical solitons.Thesis