Browsing by Author "Erbay, Saadet"
Now showing items 1-10 of 10
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The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials
Erbay, Hüsnü Ata; Erbay, Saadet; Erkip, Albert (IOP Publishing Ltd, 2011-04)This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity. The nonlocal nature of the ... -
Coupled quintic nonlinear Schrodinger equations in a generalized elastic solid
Hacınlıyan, Irma; Erbay, Saadet (IOP Publishing Ltd, 2004-10-08)In the present study, the nonlinear modulation of transverse waves propagating in a cubically nonlinear dispersive elastic medium is studied using a multiscale expansion of wave solutions. It is found that the propagation ... -
Global existence and nonexistence results for a generalized Davey-Stewartson system
Babaoğlu, Ceni; Eden, Osman Alp; Erbay, Saadet (IOP Publishing, 2004-12-03)We consider a system of three equations, which will be called generalized Davey-Stewartson equations, involving three coupled equations, two for the long waves and one for the short wave propagating in an infinite elastic ... -
A higher-order model for transverse waves in a generalized elastic solid
Hacınlıyan, Avadis Simon; Erbay, Saadet (Pergamon-Elsevier Science, 2002-11)In the present study, the nonlinear modulation of transverse waves propagating in a generalized elastic solid is studied using a multi-scale expansion of quasi-monochromatic wave solutions. In particular, to include the ... -
Non-existence and existence of localized solitary waves for the two-dimensional long-wave-short-wave interaction equations
Borluk, Handan; Erbay, Hüsnü Ata; Erbay, Saadet (Elsevier Ltd, 2010-04)In this study, we establish the non-existence and existence results for the localized solitary waves of the two-dimensional long-wave-short-wave interaction equations. Both the non-existence and existence results are based ... -
On travelling wave solutions of a generalized Davey-Stewartson system
Eden, Osman Alp; Erbay, Saadet (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 ... -
Reducing a generalized Davey-Stewartson system to a non-local nonlinear Schrodinger equation
Eden, Osman Alp; Erbay, Saadet; Hacınlıyan, Irma (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 ... -
Stability of solitary waves for three-coupled long wave-short wave interaction equations
Borluk, Handan; Erbay, Saadet (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
Eden, Osman Alp; Erbay, Saadet (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 ... -
Two-dimensional wave packets in an elastic solid with couple stresses
Babaoğlu, Ceni; Erbay, Saadet (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 ...
