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On Nonlinear Kelvin‐Helmholtz Waves Near Direct Resonance
Author(s) -
Ma Yan-Chow
Publication year - 1984
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/sapm1984703201
Subject(s) - kelvin wave , nonlinear system , wavenumber , resonance (particle physics) , envelope (radar) , physics , helmholtz equation , helmholtz free energy , dispersion relation , dispersion (optics) , classical mechanics , nonlinear resonance , stability (learning theory) , scattering , mechanics , mathematical analysis , mathematics , optics , quantum mechanics , boundary value problem , meteorology , telecommunications , radar , machine learning , computer science
The evolution equation for the nonlinear Kelvin‐Helmholtz wave envelope with its carrier wavenumber near direct resonance is formulated directly by using the nonlinear dispersion relation. The stability of a wavetrain is examined, and the long‐time evolution for an arbitrary initial condition is studied through inverse scattering transforms.