Abstract <p>A characteristic feature of the magnetosphere of Saturn is the presence of two types of electrons, hot and cold ones, which obey kappa distributions. Electrons, magnetospheric ions, and dust particles, which have been discovered within the Cassini mission, form a dusty plasma system in the magnetosphere of Saturn. Nonlinear periodic dust acoustic waves of arbitrary amplitude, which can propagate in the dusty magnetosphere of Saturn, are considered. The obtained results are important for the interpretation of future space observations.</p>