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Resonant Transfer of Energy between Nonlinear Waves in Neighboring Pycnoclines
Author(s) -
Liu A. K.,
Kubota T.,
Ko D. R. S.
Publication year - 1980
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/sapm198063125
Subject(s) - pycnocline , nonlinear system , internal wave , physics , amplitude , gravity wave , energy transfer , gravitational wave , classical mechanics , energy (signal processing) , mechanics , mathematical analysis , mathematics , geology , optics , quantum mechanics , oceanography , molecular physics
The interaction of weakly nonlinear, long internal gravity waves in neighboring pycnoclines is studied. Two coupled equations which describe the evolution of the wave amplitudes are derived. These equations are shown to possess three conserved quantities. The numerical results demonstrate the existence of two types of periodic nonlinear wave solutions when mode‐two waves propagate along each pycnocline with nearly equal speeds. The energy transfer between these resonant waves is discussed for two pycnocline separations.