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A General Theory for Interactions Between Short and Long Waves
Author(s) -
Benney D. J.
Publication year - 1977
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/sapm197756181
Subject(s) - variety (cybernetics) , nonlinear system , partial differential equation , class (philosophy) , steady state (chemistry) , physics , mathematics , mathematical analysis , classical mechanics , statistical physics , computer science , quantum mechanics , chemistry , statistics , artificial intelligence
Nonlinear partial differential equations which permit both short and long wave solutions are studied. The theory reveals a variety of phenomena relevant to a broad class of physical problems. Among the properties investigated are resonances, instabilities and steady state solutions.