| Coupled KdV equations have many applications in physics and engineering problems as an important class of nonlinear partial differential equations. Mag-nus method is a algorithm with preserving the internal structure of differential equations and the numerical results have high preerision and good stability by the magnus method.First, the paper introduces the magnus method, the semi-discrete difference equations are obtained by the finite difference method and the numerical solutions of coupled KdV equations are given by the third-order magnus method. Then this artical applied interpolate polynomial to discrete Hirota-Satsuma equations and the other coupled KdV equations and respective third-order magnus method and fourth-order magnus method to get the numerical solutions, and their numerical solutions are compared. |
