Limiting form of internal waves

The bifurcation of two-dimensional internal solitary waves in a perfect density stratified fluid between horizontal walls under gravity is studied near to a point of incipient eddy formation. It is shown that eddies do not attach to the walls. Moreover, along the bifurcating branch there is always a flow with a singular cusped streamline before the formation of eddies. Two examples are given where the primary density stratification ensures the existence of a limiting wave of depression in one case, and of elevation in the other.