The series solutions for non-linear dynamic equation based on time-status space

To resolve the problem of the non-integrability of non-linear dynamic equation, the concept of “time-status space” is introduced, and the integrated function is expanded as Taylor series of independent variables at initial status in the space of time-status. And then, the non-linear dynamic equation is changed to be integrability, and the any order approximate solutions for independent variables of nonlinear dynamic equation is obtained, and the convergence property is proven.