Numerical solution of nonlinear Jaulent-Miodek and Whitham-Broer-Kaup equations

► In this paper Jaulent-Miodek and Whitham-Broer-Kaup Equations are studied. ► The proposed methods are based on fourth-order time-stepping schemes. ► Also numerical methods used in combination with discrete Fourier transform. ► Original PDE is discretized with discrete Fourier transform in space. ► System of ODEs in Fourier space solved with fourth-order time-stepping methods.