  Electron resonant scattering by high-frequency electromagnetic whistler-mode
waves has been proposed as a mechanism for solar wind electron scattering and
pre-acceleration to energies that enable them to participate in shock drift
acceleration around the Earth's bow shock. However, observed whistler-mode
waves are often sufficiently intense to resonate with electrons nonlinearly,
which prohibits the application of quasi-linear diffusion theory. This is the
second of two accompanying papers devoted to developing a new theoretical
approach for quantifying the electron distribution evolution subject to
multiple resonant interactions with intense whistler-mode wave-packets. In the
first paper, we described a probabilistic approach, applicable to systems with
short wave-packets. For such systems, nonlinear resonant effects can be treated
by diffusion theory, but with diffusion rates different from those of
quasi-linear diffusion. In this paper we generalize this approach by merging it
with a mapping technique. This technique can be used to model the electron
distribution evolution in the presence of significantly non-diffusive resonant
scattering by intense long wave-packets. We verify our technique by comparing
its predictions with results from a numerical integration approach.
