In this work we investigate applications of laser energy deposition for the control of deflagration-to-detonation transition and for the early stage propagation of flame in pulse detonation combustor. The plasma hydrodynamics are described by the system of chemically reactive Navier-Stokes equations and non-equilibrium effects are described with a two-temperatures model for heavy-particles and free-electrons. The non-equilibrium radiation model for the laser discharge is based on a kinetic approach for the photons (radiative transfer equation formulation). Inverse Bremsstrahlung, multi-photon ionization, breakdown chemical kinetics and shock wave dynamics are accounted for self-consistently. Preliminary simulations were performed for ethylene-oxygen mixture.