Transverse linear instability of solitary waves for coupled long-wave-short-wave interaction equations
Type :
Article
Publication Status :
published
Access :
restrictedAccess
Abstract
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.
Source :
Applied Mathematics Letters
Date :
2012-12
Volume :
25
Issue :
12
Publisher :
Elsevier
URI
http://hdl.handle.net/10679/383http://www.sciencedirect.com/science/article/pii/S0893965912003436#
Collections
Share this page