Abstract
Long periodic waves propagating in a channel bounded above and below by horizontal walls are considered. The fluid consists of two layers of constant densities separated by a region in which the density varies continuously. The problem is solved numerically by a finite difference scheme coupled with boundary integral equation techniques. It is shown that there are long periodic waves characterized by a train of ripples in their troughs. The numerical results suggest the existence of a wave with one large crest flanked on either side by a small-amplitude oscillatory wave extending to infinity, in anology with the ‘‘solitary wave with oscillatory tail,’’ known to exist for surface waves with small surface tension.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
