Premium
Weakly Nonlinear Internal Waves in Shear
Author(s) -
Tung KaKit,
Ko Denny R. S.,
Chang Jerry J.
Publication year - 1981
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/sapm1981653189
Subject(s) - korteweg–de vries equation , nonlinear system , wavelength , evolution equation , internal wave , physics , shear (geology) , mechanics , mathematical analysis , waveform , mathematics , classical mechanics , geology , optics , petrology , quantum mechanics , voltage
An evolution equation in a finite depth fluid for weakly nonlinear long internal waves is derived in a stratified and sheared medium. The equation reduces to the Korteweg‐deVries equation when the depth is small compared to the wavelength, and to the Benjamin‐Ono equation when the depth is large compared to the wavelength. Both the cases with and without critical levels are investigated. Numerical solutions to the evolution equation are presented to illustrate the effect of shear on the evolution of a waveform.