A Method for the classification of integrable evolution equations

Turhan, Refik


Kayran, Altan; ARDIC, ES (ASME International, 1994-01-01)
A methodology is presented for the calculation of the natural frequencies of orthotropic axisymmetrically loaded shells of revolution including the effect of transverse shear deformation. The fundamental system of equations governing the free vibration of the stress-free shells of revolution are modified such that the initial stresses due to the axisymmetric loading are incorporated into the analysis. The linear equations on the vibration about the deformed state are solved by using the transfer matrix meth...
A semismooth newton method for generalized semi-infinite programming problems
Tezel Özturan, Aysun; Karasözen, Bülent; Department of Mathematics (2010)
Semi-infinite programming problems is a class of optimization problems in finite dimensional variables which are subject to infinitely many inequality constraints. If the infinite index of inequality constraints depends on the decision variable, then the problem is called generalized semi-infinite programming problem (GSIP). If the infinite index set is fixed, then the problem is called standard semi-infinite programming problem (SIP). In this thesis, convergence of a semismooth Newton method for generalize...
A finite element method for the solution of three-dimensional electromagnetic boundary value problems with real and artificial boundary conditions
Pekel, Ümit; Kuzuoğlu, Mustafa; Department of Electrical Engineering (1987)
A numerically efficient frequency domain method for analysis of non Linear multi degree of freedom systems
Özer, Mehmet Bülent (2012-08-15)
Linear structural models contain mass, stiffness and damping matrices as well as a forcing vector. Once these matrices and the forcing vector are known, the response can be calculated through the methods of linear algebra. The system matrices of the linear model do not contain any terms that depend on the system response vector, therefore the calculation of the system response do not require an iterative procedure. On the other hand, frequency domain analysis of non-linear structural models generally contai...
A geometric approach to absolute irreducibility of polynomials
Koyuncu, Fatih; Özbudak, Ferruh; Department of Mathematics (2004)
This thesis is a contribution to determine the absolute irreducibility of polynomials via their Newton polytopes. For any field F; a polynomial f in F[x1, x2,..., xk] can be associated with a polytope, called its Newton polytope. If the polynomial f has integrally indecomposable Newton polytope, in the sense of Minkowski sum, then it is absolutely irreducible over F; i.e. irreducible over every algebraic extension of F. We present some new results giving integrally indecomposable classes of polytopes. Conse...
Citation Formats
R. Turhan, “A Method for the classification of integrable evolution equations,” Middle East Technical University, 1997.