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I consider relaxation of the pairing amplitude in a disorderedBardeen-Cooper-Schrieffer (BCS) superconductor in the absence of thetwo-particle collisions. My main assumption is that nonmagnetic and magneticdisorder scattering rates are much smaller than the value of thesuperconducting pairing gap $\Delta_0$. I derive a system of nonlinearequations which describe the collisionless relaxation of the pairing amplitudefollowing a quench of the pairing strength. I find that in a superconductor inwhich scattering on paramagnetic impurities is dominant, the pairing amplitudein a steady state varies periodically with time even for small deviations fromequilibrium. It is shown that such a steady state emerges due to scattering onparamagnetic impurities which leads to a decrease in the value of the resonantfrequency of the amplitude mode below $2\Delta_0$.

Collisionless dynamics in disordered superconductors