Numerical solutions of coupled Klein–Gordon–Zakharov equations by quintic B-spline differential quadrature method

摘要

Numerical solutions of the coupled Klein–Gordon–Zakharov equations are obtained by using quintic B-spline based differential quadrature method. A Runge–Kutta fourth method is used for time integration. Stability of the scheme is studied using matrix stability analysis. The accuracy and efficiency of the presented method is shown by conducting some numerical experiments on test problems which includes the motion of single soliton and interactions of two solitons. The numerical results are found in good agreement with the exact solutions.