Computations of auto-solitary structures modeling extended elementary particles Original Research Article

The classical Hamilton–Jacobi (HJ) equation for the action function leads to a blow-up of disturbances of a free-particle solution. We propose an extension of the HJ equation, which prevents the blow-up. Within this extension, any perturbation evolves into a stable soliton, which we associate with an extended elementary particle. We determine numerically a continuous range of coefficients of the equation, that guarantees the solitonʹs existence.