STABILITY OF A SOLITARY PULSE AGAINST WAVE-PACKET DISTURBANCES IN AN ACTIVE MEDIUM

Citation
Hc. Chang et al., STABILITY OF A SOLITARY PULSE AGAINST WAVE-PACKET DISTURBANCES IN AN ACTIVE MEDIUM, Physical review letters, 75(9), 1995, pp. 1747-1750
Citations number
22
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
ISSN journal
0031-9007
Volume
75
Issue
9
Year of publication
1995
Pages
1747 - 1750
Database
ISI
SICI code
0031-9007(1995)75:9<1747:SOASPA>2.0.ZU;2-M
Abstract
Solitary pulses in an active medium, like those for the Kuramoto-Sivas hinsky equation for thin falling films, are often destroyed by growing and expanding wave packets from localized disturbances. The stability of a solitary pulse is then determined by whether is can escape the e xpanding wave packets. We show that this pulse-packet interaction is d etermined by the essential spectrum of the pulse and a pulse stability theory can be derived from a simple extension of the classical convec tive instability theory for a wave packet on the trivial state.