Pseudo Spectral method for a class of systems of generalized Zakharov equations are studied in this paper. The semidiscrete and fully discrete Fourier pseudo spectral schemes are given. In full discrete, we establish a three layers explicit schemes which is convenient and saves time in really computation. We use energy estimation method to obtain error estimation of the approximation solutions.KEY WORDS: Generalized Zakharov Equation; Pseudo Spectral Method ; Energy Estimation Method.
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