Başlık için Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 240, listelenen: 183-202
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On travelling wave solutions of a generalized Davey-Stewartson system
(Oxford Univ Press, 2005-02)The generalized Davey-Stewartson (GDS) equations, as derived by Babaoglu & Erbay (2004, Int. J. Non-Linear Mech., 39, 941-949), is a system of three coupled equations in (2 + 1) dimensions modelling wave propagation in an ... -
On unfair permutations
(Elsevier Science BV, 2018-10)In this paper we study the inverse of so-called unfair permutations. Our investigation begins with comparing this class of permutations with uniformly random permutations, and showing that they behave very much alike in ... -
Particle dynamics in the KdV approximation
(Elsevier Science BV, 2012-12)The KdV equation arises in the framework of the Boussinesq scaling as a model equation for waves at the surface of an inviscid fluid. Encoded in the KdV model are relations that may be used to reconstruct the velocity field ... -
Positive solutions for a sum-type singular fractional integro-differential equation with m-point boundary conditions
(Politechnica University of Bucharest, 2017)We study the existence and uniqueness of positive solutions for a sum-type singular fractional integro-differential equation with m-point boundary condition. Also, we provide an example to illustrate our main result. -
Propagation of weakly nonlinear waves in fluid-filled thick viscoelastic tubes
(Elsevier Science Inc., 1999-10)In the present work, we studied the propagation of small-but-finite-amplitude waves in a prestressed thick walled viscoelastic tube filled with an incompressible inviscid fluid. In order to include the dispersion, the ... -
Propagation of weakly nonlinear waves in fluid-filled thin elastic tubes
(Elsevier Science, 2002-11-25)In the present work, we study the propagation of nonlinear waves in a prestressed thin elastic tube filled with an incompressible inviscid fluid. Considering the physiological conditions under which the arteries function, ... -
Pseudo-spherical submanifolds with 1-type pseudo-spherical gauss map
(Birkhauser Verlag AG, 2016-05-28)In this work, we study pseudo-Riemannian submanifolds of a pseudo-sphere with 1-type pseudo-spherical Gauss map. First, we classify Lorentzian surfaces in a 4-dimensional pseudo-sphere (Formula presented.) with index s, ... -
Quasiconformal harmonic mappings related to Janowski alpha-spirallike functions
(Amer Inst Physics, 2014)Let f = h(z) + g(z) be a univalent sense-preserving harmonic mapping of the open unit disc D = {z/vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(z)vertical bar = vertical bar g'(z)/h'(z)vertical ... -
Quasiconformal harmonic mappings related to starlike functions
(Eudoxus Press, 2014-07)Let f = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the unit disc D = {z is an element of C parallel to z vertical bar < 1}. If f satisfies the condition vertical bar w(z)vertical bar = ... -
Re-visiting the head-on collision problem between two solitary waves in shallow water
(Pergamon-Elsevier Science Ltd, 2015-03)Upon discovering the wrongness of the statement "although this term does not cause any secularity for this order it will cause secularity at higher order expansion, therefore, that term must vanish" by Su and Mirie [4], ... -
Reducing a generalized Davey-Stewartson system to a non-local nonlinear Schrodinger equation
(Pergamon-Elsevier Science Ltd, 2009-07-30)In the present study, we consider a generalized (2 + 1) Davey-Stewartson (GDS) system consisting of a nonlinear Schrodinger (NLS) type equation for the complex amplitude of a short wave and two asymmetrically coupled linear ... -
Reductions of topologically massive gravity I: Hamiltonian analysis of second order degenerate Lagrangians
(Amer Inst Physics, 2018-01)We present Skinner-Rusk and Hamiltonian formalisms of second order degenerate Clement and Sarioglu-Tekin Lagrangians. The Dirac-Bergmann constraint algorithm is employed to obtain Hamiltonian realizations of Lagrangian ... -
Reflection and transmission of nonlinear waves from arterial branching
(Elsevier Ltd, 2006-10)In this work, treating the arteries as a prestressed thin walled elastic tube and the blood as an inviscid fluid, we have studied the reflection and transmission of nonlinear waves from arterial branching, through the use ... -
Rotational Weingarten surfaces in hyperbolic 3-space
(Birkhauser, 2020-04-01)We study rotational Weingarten surfaces in the hyperbolic space H3(- 1) with the principal curvatures κ and λ satisfying a certain functional relation κ= F(λ) for a given continuous function F. We determine profile curves ... -
Second order Lagrangian dynamics on double cross product groups
(Elsevier B.V., 2021-02)We observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Based on this observation, we derive the 2nd ... -
Semiregular trees with minimal Laplacian spectral radius
(Elsevier Inc, 2010-04-15)A semiregular tree is a tree where all non-pendant vertices have the same degree. Among all semiregular trees with fixed order and degree, a graph with minimal (adjacency/Laplacian) spectral radius is a caterpillar. Counter ... -
Slant curves in the Lorentzian warped product manifold - I× fE²
(Birkhauser, 2022-03-15)In this work, we study slant curves in the 3-dimensional Lorentzian warped product - I× fE², where E² is a 2-dimensional Euclidean plane, I⊆ R is an open interval equipped with the metric dt², and f is a positive smooth ... -
Solitary waves in a fluid-filled thin elastic tube with variable cross-section
(Elsevier B.V., 2007-08)The present work treats the arteries as a thin walled prestressed elastic tube with variable cross-section and uses the longwave approximation to study the propagation of weakly nonlinear waves in such a fluid-filled elastic ...
