On the class of simple solutions of the SU(2) Yang-Mills equations

We investigate the solutions of SU(2) Yang-Mills equations of the form Asub(μ)(x)=Asub(μ)(R), R=lambda#betta#xsup(#betta#), lambda#betta#=constant four-vector. We prove, that for null lambda only embedded maxwellian solutions exist. For spacelike and timelike lambda we reduce the problem to the solution of the system of two ordinary differential equations for two unknown functions. Some explicit solutions are given. (author)