In view of the solution process of the dynamic equations of the vehicle-track nonlinear coupled system,the ve-hicle and the track were considered as two subsystems respectively.Through displacement coordination and wheel-rail nonlinear contact force coupling between the two subsystems,and combined with the explicit-implicit integral scheme,two solutions of vehicle-track nonlinear coupled system,separation iteration and separation synchronization,were pro-posed.With the correctness of the two methods being verified by numerical examples,the convergence of the two solving methods was compared.The results show that the maximum effective time steps of the explicit-implicit separation iteration method and the explicit-implicit separation synchronization method are 0.5 ms and 0.1 ms respectively.When the time step is large,Aitken acceleration method can enhance the computational stability of the explicit-implicit separation itera-tion method,but the effect of Aitken acceleration method will be weakened with the decrease of the time step.Under the same time step,the computational efficiency of the explicit-implicit separation synchronization method is higher than that of the explicit-implicit separation iteration method,except that the computational efficiency of the explicit-implicit sepa-ration iteration method can be improved by selecting a larger time step.