  It is well known that a moving intrinsic localized mode (ILM) in a nonlinear
physical lattice looses energy because of the resonance between it and the
underlying small amplitude plane wave spectrum. By exploring the Fourier
transform (FT) properties of the nonlinear force of a running ILM in a driven
and damped 1D nonlinear lattice, as described by a 2-D wavenumber and frequency
map, we quantify the magnitude of the resonance where the small amplitude
normal mode dispersion curve and the FT amplitude components of the ILM
intersect. We show that for a traveling ILM characterized by a specific
frequency and wavenumber, either inside or outside the plane wave spectrum, and
for situations where both onsite and intersite nonlinearity occur, either of
the hard or soft type, the strength of this resonance depends on the specific
mix of the two nonlinearities. Examples are presented demonstrating that by
engineering this mix the resonance can be greatly reduced. The end result is a
supertransmission channel for either a driven or undriven ILM in a
nonintegrable, nonlinear yet physical lattice.
