NONLINEAR-WAVE INTERACTIONS IN NONLINEAR NONINTEGRABLE SYSTEMS

Citation
Ng. Berloff et Ln. Howard, NONLINEAR-WAVE INTERACTIONS IN NONLINEAR NONINTEGRABLE SYSTEMS, Studies in applied mathematics, 100(3), 1998, pp. 195-213
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00222526
Volume
100
Issue
3
Year of publication
1998
Pages
195 - 213
Database
ISI
SICI code
0022-2526(1998)100:3<195:NIINNS>2.0.ZU;2-0
Abstract
The main goal of this article is to understand the qualitative appeara nces of regular arrays of pulses that come up in nonintegrable systems in a variety of contexts, particularly in fluid dynamics. It is shown that even nonintegrable systems have a kind of particle dynamics made up of solitary waves. But the interaction of these solitary waves is not absolutely ''clean'' as in the case of the KdV and other integrabl e equations.