  We study the dynamics of superposed wave packets in a specific nonlinear
Hamiltonian which models the wave packet propagation in Kerr-like media and the
dynamics of Bose-Einstein condensates. We show the dependence of initial wave
packet superposition on fractional revival times using analysis based on the
expectation values, R\'{e}nyi entropy and Wigner function. We also show how the
selective identification of fractional revivals using moments of appropriate
observables depends on the number of wave packets present in the initial state.
