[en] The derivative expansion method is used to solve the kinetic equations of quark-gluon plasma. In the process of solution, the authors find that the self-interaction term of the mean field equation plays an important role to the nonlinear eigenfrequency shift of the non-Abelian excitations in quark gluon plasma. To the third order of derivative expansion, the authors get the general analytical expression of nonlinear frequency shift including the self-interaction in the leading order of coupling constant and give out the value of eigenfrequency shift for the pure gluon plasma to the important k= 0 modes