Transverse linear instability of solitary waves for coupled long-wave-short-wave interaction equations

Name: Transverse linear instability of solitary waves for coupled long-wave-short-wave interaction equations
Author: Erbay, Hüsnü Ata, Erbay, Saadet

İsim	Transverse linear instability of solitary waves for coupled long-wave-short-wave interaction equations
Yazar	Erbay, Hüsnü Ata, Erbay, Saadet
Basım Tarihi:	2012-12
Basım Yeri	- Elsevier
Konu	Long wave–short wave equations, Transverse instability, Solitary waves
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0893-9659
Kayıt Numarası	8fb496df-0a06-40ff-83cf-0de6a9393955
Lokasyon	Natural and Mathematical Sciences
Tarih	2012-12
Örnek Metin	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 solitary waves are linearly unstable to perturbations in the transverse direction if the coefficient of the term associated with transverse effects is negative. This transverse instability condition coincides with the non-existence condition identified in the literature for two-dimensional localized solitary wave solutions of the coupled system.
DOI	10.1016/j.aml.2012.07.012
Cilt	25

Kaynağa git Özyeğin Üniversitesi

Aramaya Dön

Özyeğin Üniversitesi

Kaynağa git

Transverse linear instability of solitary waves for coupled long-wave-short-wave interaction equations

Yazar Erbay, Hüsnü Ata, Erbay, Saadet

Basım Tarihi 2012-12

Basım Yeri - Elsevier

Konu Long wave–short wave equations, Transverse instability, Solitary waves

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0893-9659

Kayıt Numarası 8fb496df-0a06-40ff-83cf-0de6a9393955

Lokasyon Natural and Mathematical Sciences

Tarih 2012-12

Örnek Metin 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 solitary waves are linearly unstable to perturbations in the transverse direction if the coefficient of the term associated with transverse effects is negative. This transverse instability condition coincides with the non-existence condition identified in the literature for two-dimensional localized solitary wave solutions of the coupled system.

DOI 10.1016/j.aml.2012.07.012

Cilt 25