  In this paper, we obtain the asymptotic expansion for the analogue of the
bowl-soliton for a large `nondegenerate' class of fully nonlinear curvature
flows. We use this to show the uniqueness of these bowl-type solitons in their
asymptotic class. We also give examples to illustrate the situation for
`degenerate' speeds and how they different they can be. Finally, we show how to
construct `wing-like' solitons for these flows, which are complete, connected
translators that are not graphical, entire or convex. We also obtain asymptotic
expansions for them to show the variety of solutions that one can obtain
depending on the choice of speed function.
