  We study the evolution of the neutron cross-section with variable frequency
$\omega$ and fixed $T$ below $T_c$ in two different cuprate families. Our
calculations, which predominantly probe the role of d-wave pairing, lead to
generic features, independent of Fermi surface shapes. Among our findings,
reasonably consistent with experiment, are (i) for $\omega $ near the gap
energy $\Delta$, both optimal {LaSrCuO} and slightly underdoped YBCO exhibit
(comparably) incommensurate peaks (ii) peak sharpening below $T_c$ is seen in
{LaSrCuO}, (iii) quite generically, a frequency evolution from incommensurate
to commensurate and then back to incommensurate structure is found with
increasing $\omega$. Due to their narrow $\omega$ regime of stability,
commensurate peaks in {LaSrCuO} should be extremely difficult to observe.
