Numerical solutions of coupled KleinGordonZakharov equations by quintic B-spline differential quadrature method
Numerical solutions of the coupled KleinGordonZakharov equations are obtained by using quintic B-spline based differential quadrature method. A RungeKutta 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.