Stability and Convergence of Fourier Pseudospectral Method for Generalized Zakharov Equations

摘要

In this article a Fourier pseudospectral method for the generalized Zakharov equations is applied. Fully discrete pseudospectral scheme is developed. Convergence of the pseudospectral scheme is proved by energy estimation method. By using convergence theorem stability of the fully discrete scheme is proved. Numerical results of the fully discrete scheme are compare with the results already available in the literature to check the efficiency of the proposed method.