Browsing by OzU Authors "Erbay, Hüsnü Ata"
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Some remarks on the stability and instability properties of solitary waves for the double dispersion equation
Erbay, Hüsnü Ata; Erbay, Saadet; Erkip, A. (Estonian Academy of Sciences, 2015)In this article we give a review of our recent results on the instability and stability properties of travelling wave solutions of the double dispersion equation utt − uxx + auxxxx − buxxtt = −(|u|p−1u)xx for p > 1, a ≥ b ... -
A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity
Erbay, Hüsnü Ata; Sengul, Y. (Springer Nature, 2020-05-28)We introduce a one-dimensional stress-rate type nonlinear viscoelastic model for solids that obey the assumptions of the strain-limiting theory. Unlike the classical viscoelasticity theory, the critical hypothesis in the ... -
Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations
Erbay, Hüsnü Ata; Erbay, Saadet; Erkip, A. (Elsevier, 2014-01)In this paper we study the global existence and blow-up of solutions for a general class of nonlocal nonlinear wave equations with power-type nonlinearities, View the MathML source, where the nonlocality enters through two ... -
Transverse linear instability of solitary waves for coupled long-wave-short-wave interaction equations
Erbay, Hüsnü Ata; Erbay, Saadet (Elsevier, 2012-12)In this paper, we investigate the transverse linear instability of one-dimensional solitary wave solutions of the coupled system of two-dimensional long-wave–short-wave interaction equations. We show that the one-dimensional ... -
Traveling waves in one-dimensional non-linear models of strain-limiting viscoelasticity
Erbay, Hüsnü Ata; Şengül, Yasemin (Elsevier, 2015-12)In this paper we investigate traveling wave solutions of a non-linear differential equation describing the behaviour of one-dimensional viscoelastic medium with implicit constitutive relations. We focus on a subclass of ... -
Unidirectional wave motion in a nonlocally and nonlinearly elastic medium: The KdV, BBM and CH equations
Erbay, Hüsnü Ata; Erbay, Saadet; Erkip, A. (Estonian Academy of Sciences, 2015)We consider unidirectional wave propagation in a nonlocally and nonlinearly elastic medium whose constitutive equation is given by a convolution integral with a suitable kernel function. We first give a brief review of ...
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