The formulation of a nonlinear frequency domain parabolic mild-slope m
odel is detailed. The resulting model describes two-dimensional wave t
ransformation and nonlinear coupling between frequency components. Lin
ear dispersion and transformation characteristics are dictated by full
y-dispersive linear theory, an improvement over weakly-dispersive Bous
sinesq theory. Both the present model and a weakly-dispersive nonlinea
r frequency domain model are compared to laboratory data for both two-
dimensional wave transformation and pure shoaling. It is found that, i
n general, data-model comparisons are enhanced by the present model, p
articularly in instances where the wave condition is outside the shall
ow water range. (C) 1995 American Institute of Physics.