Browsing Mechanical Engineering by Author "(ORCID 0000-0002-6080-4591 & YÖK ID 119313) Erbay, Saadet"
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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 ... -
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 ...
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