On a field equation generating a new class of particular solutions to the Yang-Mills equations

In a pseudo-Euclidean space, a field equation (system of equations) is considered that is invariant under orthogonal (from the group O(p, q)) coordinate transformations and invariant under gauge transformations from the spinor group Pin(p, q). The solutions to the field equation are connected with a class of new particular solutions to the Yang-Mills equations.