High‐frequency nonlinear solitary wave propagation in media with strongly varying dispersion is considered. A dynamical model is proposed which allows us to determine the propagation characteristics of a strongly dispersion‐managed soliton without applying any averaging procedure. This approach is compared with previously developed models, focusing on the dependence of the energy on the quasimomentum. An analogy with a macroscopic nonlinear quantum oscillator model is briefly discussed. The analytical results are confirmed by numerical simulations.