On the maximal form of internal solitary waves
W. A. B. Evans,
Physics Laboratory, University of Kent,
Canterbury, Kent CT2 7NR, UK.
Recent integral equation computations (Evans
and Ford 1996b; Turner
and Vandenbroeck 1988) of large amplitude internal waves under oceanic
have suggested a form with fixed maximal depth and of arbitrary, very large
width in accord with Benjamin (1966)'s concept
of `conjugate flow'. Here we explore the `conjugate flow' picture for both
``rigid-lid'' and ``free top surface'' boundary conditions. We discuss
the limitations of this kind of extremal form - especially for cases where .