Instability and stability properties of traveling waves for the double dispersion equation

Name: Instability and stability properties of traveling waves for the double dispersion equation
Author: Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, A.

İsim	Instability and stability properties of traveling waves for the double dispersion equation
Yazar	Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, A.
Basım Tarihi:	2016-03
Basım Yeri	- Elsevier
Konu	Double dispersion equation, Instability by blow-up, Orbital stability
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	1873-5215
Kayıt Numarası	81dcd8b6-efc4-40e1-b7f7-2c4e97f6378b
Lokasyon	Natural and Mathematical Sciences
Tarih	2016-03
Örnek Metin	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 main characteristic of this equation is the existence of two sources of dispersion, characterized by the terms uxxxx and uxxtt. We obtain an explicit condition in terms of a, b and p on wave velocities ensuring that traveling wave solutions of the double dispersion equation are strongly unstable by blow up. In the special case of the Boussinesq equation (b=0), our condition reduces to the one given in the literature. For the double dispersion equation, we also investigate orbital stability of traveling waves by considering the convexity of a scalar function. We provide analytical as well as numerical results on the variation of the stability region of wave velocities with a, b and p and then state explicitly the conditions under which the traveling waves are orbitally stable.
DOI	10.1016/j.na.2015.11.019
Cilt	133

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Instability and stability properties of traveling waves for the double dispersion equation

Yazar Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, A.

Basım Tarihi 2016-03

Basım Yeri - Elsevier

Konu Double dispersion equation, Instability by blow-up, Orbital stability

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 1873-5215

Kayıt Numarası 81dcd8b6-efc4-40e1-b7f7-2c4e97f6378b

Lokasyon Natural and Mathematical Sciences

Tarih 2016-03

Örnek Metin 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 main characteristic of this equation is the existence of two sources of dispersion, characterized by the terms uxxxx and uxxtt. We obtain an explicit condition in terms of a, b and p on wave velocities ensuring that traveling wave solutions of the double dispersion equation are strongly unstable by blow up. In the special case of the Boussinesq equation (b=0), our condition reduces to the one given in the literature. For the double dispersion equation, we also investigate orbital stability of traveling waves by considering the convexity of a scalar function. We provide analytical as well as numerical results on the variation of the stability region of wave velocities with a, b and p and then state explicitly the conditions under which the traveling waves are orbitally stable.

DOI 10.1016/j.na.2015.11.019

Cilt 133