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

Title	Transverse linear instability of solitary waves for coupled long-wave-short-wave interaction equations
Author	Erbay, Hüsnü Ata, Erbay, Saadet
Publication Date:	2012-12
Publication Place	- Elsevier
Subject	Long wave–short wave equations, Transverse instability, Solitary waves
Type	Periodical
Language	English
Digital	Yes
Manuscript	No
Library:	Özyeğin University
Library Asset ID	0893-9659
Record ID	8fb496df-0a06-40ff-83cf-0de6a9393955
Library Location	Natural and Mathematical Sciences
Date	2012-12
Sample Text	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

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Özyeğin University

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

Author Erbay, Hüsnü Ata, Erbay, Saadet

Publication Date 2012-12

Publication Place - Elsevier

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

Type Periodical

Language English

Digital Yes

Manuscript No

Library Özyeğin University

Library Asset ID 0893-9659

Record ID 8fb496df-0a06-40ff-83cf-0de6a9393955

Library Location Natural and Mathematical Sciences

Date 2012-12

Sample Text 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