Exact and numerical solitary wave solutions of generalized Zakharov equation by the Adomian decomposition method

In this paper, by considering the modified Adomian decomposition method (mADM), exact and numerical solutions are calculated for the generalized Zakharov equation which is an imaginary equation, with initial condition. The method does not need linearization, weak nonlinearity assumptions or perturbation theory. We compare the numerical solutions with corresponding analytical solutions.