Stable autosoliton of the action function as a particle-type structure

The Hamilton-Jacobi (HJ) equation for the action function plays a fundament al role in classical mechanics. A known consequence of the HJ equation is a blow-up of a disturbed free-particle solution. Following the idea of Sivas hinsky, we formulate an extension of the Hj equation in which perturbations eventually evolve into a finite autosoliton associated with an elementary particle. A novel element of the model is stability of the autosoliton. We link uncertainties in the position and momentum of a particle to a width an d amplitude of the autosoliton. We formulate restrictions of the coefficien ts of the model and compare the model with some existing theories of extend ed elementary objects.