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Spectral Filtering Formalism and Its Application for Multi‐Phase Deep‐Water Wavetrains
Author(s) -
Kliakhandler I. L.,
Rubinstein B. Y.
Publication year - 2003
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 - 10.1111/1467-9590.00237
Subject(s) - formalism (music) , harmonics , physics , statistical physics , classical mechanics , computer science , quantum mechanics , art , musical , voltage , visual arts
A new formalism of spectral filtering for the description of the modulation processes is proposed. The method allows one to study the classical problem of multi‐phase modulations in dispersive systems. In the present paper, deepwater waves are considered. Spectral filtering results in a system of coupled equations that describe the modulations of the carrier wave and its harmonics. The formalism may find applications in a broad range of physical situations with multi‐phase dynamics.