Abstract.  The optimum convolution of dual short pulse for producing the maximum wake-field and the highest dissociation probability of CH₄ has been investigated. By using three fundamental shapes of pulses though four different arrangements the generated wake are considered in plasma. It is found that when the first and second pulses were rectangular–triangular and sinusoidal shapes respectively, the resultant wake-field amplitude is the highest. Based on the quantum mechanics principles, calculation of time dependent Schrödinger equation with split-operator method is carried out where this model is producing more accurate results in comparison to the earlier Quasi-classical calculations. These results show that there is an excellent match with experimental data, this opens up a new novel way by pulse shaping mechanism in the photo dissociation dynamics of polyatomic molecules and controlling of chemical reactions in the desired channels by short pulse intense lasers for reducing the computation time of genetic algorithm model.