Fix of electrodynamics

Lorentz's statement is known that "... Heaviside and Hertz gave a clear and concentrated form to Maxwell's equations." At present, after Heaviside and Hertz, the applicability of Maxwell's equations to all phenomena of electrodynamics and electrical devices is indisputable. But this indisputability applies only to the case when these equations are solved numerically. The analytical solution - the wave equation of electrodynamics, which contradicts the law of conservation of energy, and a great many analytical consequences of Maxwell's equations, an indispensable attribute of which is the vector potential, are very far from reality. This happened because Maxwell's equations, which I along with many admire, must be correctly solved. Below is a discussion of what these correct decisions are