Solitary waves in stratified shear flows
Abstract
An analysis is described of long, finiteamplitude internal waves in a stratified shear flow. Both regular and singular modes are considered with a nonlinear critical layer employed in the latter case. A threelayer model is used to develop the theory and closedform expressions are obtained relating the phase speed to the Richardson number, the latter quantity being taken as O(1). The amplitude evolution equation is found to be either the Kortewegde Vries equation or the BenjaminDavisOno equation depending upon the distance of the more remote boundary from the edge of the shear layer.
 Publication:

Geophysical and Astrophysical Fluid Dynamics
 Pub Date:
 1979
 DOI:
 10.1080/03091927908243769
 Bibcode:
 1979GApFD..13..185M
 Keywords:

 Shear Flow;
 Solitary Waves;
 Stratified Flow;
 Damping;
 Internal Waves;
 Richardson Number