  Floquet Majorana edge modes capture the topological features of periodically
driven superconductors. We present a Kitaev chain with multiple time periodic
driving and demonstrate how the avoidance of bands crossing is altered, which
gives rise to new regions supporting Majorana edge modes. A one dimensional
generalized method was proposed to predict Majorana edge modes via the Zak
phase of the Floquet bands. We also study the time independent effective
Hamiltonian at high frequency limit and introduce diverse index to characterize
topological phases with different relative phase between the multiple driving.
Our work enriches the physics of driven system and paves the way for locating
Majorana edge modes in larger parameter space.
