Protons Surfatron acceleration by electromagnetic wave in space plasma

In this work fundamental interactions of type wave-particles are discussed. Main object of the investigation is Surfatron accelerations of the protons by single electromagnetic wave. The Surfatron effect of protons acceleration is investigated through numerical simulations, on the basis of nonlinear, nonstationary, second order differential equation for the wave phase at the charged particle's trajectory. The temporal dynamics of protons Surfatron acceleration for different variants of the initial parameters are studied. The optimal conditions for maximum ultrarelativistic particles Surfatron acceleration by the electromagnetic wave in space plasma are considered. An analytical approximation for protons energy strong growth was done. Key words: Surfatron acceleration, space plasmas, electromagnetic wave, proton, charge trapping