Browsing Mechanical Engineering by OzU Authors "Erbay, Hüsnü Ata"
Now showing items 1-8 of 8
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The cauchy problem for a one-dimensional nonlinear elastic peridynamic model
Erbay, Hüsnü Ata; Erkip, A.; Muslu, G. M. (Elsevier, 2012-04-15)This paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an infinitely long elastic bar. The issues of local well-posedness and smoothness of the solutions ... -
Derivation of generalized Camassa-Holm equations from Boussinesq-type equations
Erbay, Hüsnü Ata; Erbay, Saadet; Erkip, A. (Informa Group, 2016)In this paper we derive generalized forms of the Camassa-Holm (CH) equation from a Boussinesq-type equation using a two-parameter asymptotic expansion based on two small parameters characterizing nonlinear and dispersive ... -
Existence and stability of traveling waves for a class of nonlocal nonlinear equations
Erbay, Hüsnü Ata; Erbay, Saadet; Erkip, A. (Elsevier, 2015-05-01)In this article we are concerned with the existence and orbital stability of traveling wave solutions of a general class of nonlocal wave equations: utt−Luxx=B(±|u|p−1u)xx, p>1. The main characteristic of this class of ... -
Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations
Babaoglu, C.; Erbay, Hüsnü Ata; Erkip, A. (Elsevier, 2013-01)This study deals with the analysis of the Cauchy problem of a general class of nonlocal nonlinear equations modeling the bi-directional propagation of dispersive waves in various contexts. The nonlocal nature of the problem ... -
Instability and stability properties of traveling waves for the double dispersion equation
Erbay, Hüsnü Ata; Erbay, Saadet; Erkip, A. (Elsevier, 2016-03)In this article we are concerned with the instability and stability properties of traveling wave solutions of the double dispersion equation View the MathML source for View the MathML source, View the MathML source. The ... -
On the decoupling of the improved Boussinesq equation into two uncoupled Camassa-Holm equations
Erbay, Hüsnü Ata; Erbay, Saadet; Erkip, A. (American Institute of Mathematical Sciences, 2017-06)We rigorously establish that, in the long-wave regime characterized by the assumptions of long wavelength and small amplitude, bidirectional solutions of the improved Boussinesq equation tend to associated solutions of two ... -
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 ...
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