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The Evolution of Multi‐Phase Modes for Nonlinear Dispersive Waves
Author(s) -
Ablowitz M. J.,
Benney D. J.
Publication year - 1970
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 - 10.1002/sapm1970493225
Subject(s) - nonlinear system , phase (matter) , mathematical analysis , scale (ratio) , physics , classical mechanics , mathematics , statistical physics , quantum mechanics
A method is devised to study the evolution of a system of waves which locally have a multiply periodic structure. The present theory generalizes the results obtained by Whitham for the development of a single periodic wave train subject to large scale variations. The interactions are fully nonlinear.