  A gravitational wave pulse, while passing through spacetime, brings about a
change in the relative separation between free particles. This `memory effect'
serves as one of the signatures of gravitational waves. In this paper, we
consider some viable pulse profiles which are not yet analyzed by others (e.g.,
$u^{-4}$, $u^{-2}$, $ \frac{c}{(u^2 + au +b)^2} $), and examine the memory
effect produced by these wave pulses in pp-wave spacetime. We choose to work in
the Brinkmann coordinates to solve the geodesic equations. From the plots of
the corresponding analytical solutions, we observe a non-zero separation
between a pair of geodesics in each case, after the pulse dies out. The
displacement memory effect either increases or decreases monotonically, whereas
the velocity memory effect reaches saturation after an initial rise or drop.
