More than 20 years ago, in 2002 the small book "Vacuum dynamics and the soliton theory of elementary particles" was published that showedMaxwell’s model effectiveness in describing elementary particles as solitons in vacuum. Already in this book there was a derivation of the equation for the internal field of electromagnetic soliton (electron), which solution gives thevalue of the fine structure constant theoretically or, how it used to say R. Feynman, from computer, not putting it there secretly. Then this calculation was made, but convincing result was not yet achieved because the applied method of calculation has not provided adequate accuracy of the received constant value. And now, 20 years after, the great dream of physicists at last has become the truth: the fine structure constant was got from that equation with good accuracy and rather simple, using for calculation a customary notebook, so that everybody who wants can do it without hard work.