In the paper, ether is considered as a dense compressible inviscid oscillating medium in three-dimensional Euclidean space, having a density of ether and a velocity vector of propagation of density perturbations at each instant of time. Ether can be described by two nonlinear equations, where the first equation is the continuity equation, and the second is the ether momentum conservation law. It is shown that the consequences of the system of these two equations are: a generalized nonlinear system of Maxwell-Lorentz equations that is invariant under Galileo transformations, the linearization of which leads to the classical system of Maxwell-Lorentz equations; Coulomb law; representations for Planck's and fine structure constants; formulas for the electron, proton and neutron in the form of wave solutions of the system of two ether equations for which the calculated values of their internal energies, masses and magnetic moments coincide, with an accuracy to fractions of a percent, with their experimental values, anomalous from the point of view of modern physics.

Keywords: compressible inviscid oscillating medium, Euclidean space, Maxwell-Lorentz equations, linearization, Coulomb law, Planck's constants, fine structure constant, electron, proton, neutron, wave solutions