137967.fig.0011a
(a)
137967.fig.0011b
(b)
Figure 11: Nonlinear surface wave profiles for in (a) regime 1 (with and ) and (b) regime 2 (with and ). From (21), one has that and hence for the solutions in (a), while and hence in (b). In these profiles, so that in each case. The + and − signs in the legends refer to the choice of sign solution in (20a) and (20b).