Başlık için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 218, listelenen: 198-217
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Stability of solitary waves for three-coupled long wave-short wave interaction equations
(Oxford Univ Press, 2011-08)In this paper, we consider a three-component system of 1D long wave-short wave interaction equations. The system has two-parameter family of solitary wave solutions. We prove orbital stability of the solitary wave solutions ... -
Standing waves for a generalized Davey-Stewartson system
(IOP Publishing, 2006-10-27)In this paper, we establish the existence of non-trivial solutions for a semi-linear elliptic partial differential equation with a non-local term. This result allows us to prove the existence of standing wave ( ground ... -
A study of higher order terms in shallow water waves via modified PLK method
(Walter De Gruyter GMBH, 2014-04)In this work, by utilizing the modified PLK (Poincare-Lighthill-Kou) method, we studied the propagation of weakly nonlinear waves in a shallow water theory and obtained the Korteweg-deVries (KdV) and the linearized KdV ... -
Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions
(Elsevier Science Inc, 2018-02-15)Let's take f(z) = h (z) + <(g(z))over bar> which is an univalent sense-preserving harmonic functions in open unit disc D = {z : vertical bar z vertical bar < 1}. If f (z) fulfills vertical bar w(z)vertical bar = ... -
Timelike rotational surfaces of elliptic, hyperbolic and parabolic types in minkowski space E-1(4) with pointwise 1-type gauss map
(University of Nis, 2015)In this work, we focus on a class of timelike rotational surfaces in Minkowski space E-1(4) with 2-dimensional axis. There are three types of rotational surfaces with 2-dimensional axis, called rotational surfaces of ... -
Topological Hopf algebras and their Hopf-cyclic cohomology
(Taylor and Francis, 2019-01-29)A natural extension of the Hopf-cyclic cohomology, with coefficients, is introduced to encompass topological Hopf algebras. The topological theory allows to work with infinite dimensional Lie algebras. Furthermore, the ... -
A travelling wave solution to the KdV-Burgers equation
(Elsevier Inc, 2004-07-15)In the present work, by introducing a new potential function and by using the hyperbolic tangent method and an exponential rational function approach, a travelling wave solution to the KdV-Burgers (KdVB) equation is ... -
Tulczyjew's triplet for Lie groups III: higher order dynamics and reductions for iterated bundles
(Serbian Society of Mechanics, 2021)Given a Lie group G, we elaborate the dynamics on T*T*G and T*TG, which is given by a Hamiltonian, as well as the dynamics on the Tul-czyjew symplectic space TT * G, which may be defined by a Lagrangian or a Hamiltonian ... -
Two remarks on a generalized Davey-Stewartson system
(Elsevier Ltd, 2006-03-01)We present two results on a generalized Davey-Stewartson system, both following from the pseudo-conformal invariance of its solutions. In the hyperbolic-elliptic-elliptic case, under some conditions on the physical parameters, ... -
Two-dimensional wave packets in an elastic solid with couple stresses
(Pergamon-Elsevier Science Ltd, 2004-08)The problem of (2+1) (two spatial and one temporal) dimensional wave propagation in a bulk medium composed of an elastic material with couple stresses is considered. The aim is to derive (2+1) non-linear model equations ... -
Variable coefficient modified KdV equation in fluid-filled elastic tubes with stenosis: Solitary waves
(Pergamon-Elsevier Science Ltd, 2009-10-15)In the present work, treating the arteries as a thin walled prestressed elastic tube with variable radius, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a fluid-filled ... -
Waves in an elastic tube filled with a heterogeneous fluid of variable viscosity
(Pergamon-Elsevier Science Ltd, 2009-07)By treating the artery as a prestressed thin elastic tube and the blood as an incompressible heterogeneous fluid with variable viscosity. we studied the propagation of weakly non-linear waves in such a composite medium ... -
Waves in fluid-filled elastic tubes with a stenosis: Variable coefficients KdV equations
(Elsevier B.V., 2007-05-15)In the present work, by treating the arteries as thin-walled prestressed elastic tubes with a stenosis and the blood as an inviscid fluid we have studied the propagation of weakly nonlinear waves in such a medium, in the ... -
Weakly non-linear waves in a fluid-filled elastic tube with variable prestretch
(Pergamon-Elsevier Science Ltd, 2008-11)In the present work, by utilizing the non-linear equations of motion of an incompressible, isotropic thin elastic tube subjected to a variable prestretch both in the axial and the radial directions and the approximate ... -
Weakly non-linear waves in a tapered elastic tube filled with an inviscid fluid
(Pergamon-Elsevier Science Ltd, 2005-07)In the present work, treating the artery as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied the propagation of weakly non-linear waves in ... -
Weakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tube
(Pergamon-Elsevier Science Ltd, 2008-04)In this work, treating the artery as a prestressed thin elastic tube and the blood as an incompressible Newtonian fluid with variable viscosity which vanishes on the boundary of the tube, the propagation of nonlinear waves ... -
Weakly nonlinear waves in a linearly tapered elastic tube filled with a fluid
(Pergamon-Elsevier Science Ltd, 2004-01)In the present work, treating the arteries as a tapered, thin-walled, long and circularly conical prestressed elastic tube and using the long-wave approximation, we have studied the propagation of weakly nonlinear waves ... -
Weakly nonlinear waves in a prestressed thin elastic tube containing a viscous fluid
(Pergamon-Elsevier Science Ltd, 1999-11)In this work, we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible viscous fluid. In order to include the geometrical and structural dispersion into analysis, ... -
Weakly nonlinear waves in a viscous fluid contained in a viscoelastic tube with variable cross-section
(Gauthier-Villars/Editions Elsevier, 2005-03)In the present work, treating the arteries as a thin walled prestressed viscoelastic tube with variable cross-section, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such ... -
Weakly nonlinear waves in elastic tubes filled with a layered fluid
(Freund Publishing House, 2002)In this work we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible layered fluid, where the outer layer is assumed to be inviscid whereas the cylindrical core ...
