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Nonlinear Wave Interactions in Nonlinear Nonintegrable Systems
Author(s) -
Berloff Natalia G.,
Howard Louis N.
Publication year - 1998
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.00075
Subject(s) - integrable system , nonlinear system , korteweg–de vries equation , variety (cybernetics) , classical mechanics , dynamics (music) , mathematics , physics , mathematical analysis , acoustics , quantum mechanics , statistics
The main goal of this article is to understand the qualitative appearances 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 integrable equations.