In the Manakov PDM system, solitons polarize on two orthogonal axes, which can overcome the interaction of the solitons, increase the information rate of the communication system. The solitons are assumed to be the sech forms, and the TOD and Kerr nonlinearity can not be ignored. The envelops of the solitons satisfy the extended coupled Manakov equations。 The equations can be solved by the Lagrange method and perturbation theory.