Spectral Method for a Class of Systems of Generalized Zakharov Equations

In this paper, a Fourier spectral method for an initial boundary value problem for a class of systems of generalized Zakharov equations is proposed. Semi-discrete and fully discrete Fourier spectral schemes are given. In fully discrete case we have established a two level scheme which is convenient and saves time in real computation. An energy estimation method is used to obtain error estimates for approximate solutions.