Аннотация:Recent results of using asymptotic analysis for asymptotic solvingof some classes inverse problems for reaction-diusion-advectionequations are presented. This approach is applied to a new classof time-periodic reaction-diusion-advection problems with internaltransition layers. Particularly, for Burgers-type equation, which has atime-periodic solution of moving front type, asymptotic analysis wasapplied to solve the inverse problem of restoring some parameters ofthe original model by known information about the observed solutionof the direct problem at a given time interval (period).