The schemes of light beam transformations by volume dynamic holograms in resonant media revealing the fifth- or
higher-order nonlinearities have been theoretically analyzed. N-wave mixing has been realized by changing of the
propagation direction or frequency of the read-out wave in the solution of Rhodamine 6G and polymethine 3274U dyes. It
has been demonstrated that the experimental results are in good agreement with the theoretical data obtained for a three-level
medium model with due regard to absorption from the excited singlet level