Uniqueness of monostable pulsating wave fronts for time periodic reaction–diffusion equations

We establish the uniqueness of pulsating wave fronts for reaction–diffusion equations in time periodic media with monostable nonlinearities. For the Kolmogorov–Petrovsky–Piskunov (KPP) type nonlinearity, this result provides a complete classification of all types of KPP pulsating fronts.