On a new class of progressive waves in Yang–Mills fields with SU(2) symmetry

Abstract

In the present paper, a new class of wave solutions to the Yang-Mills equations with SU(2) symmetry is considered. They describe the propagation of non-Abelian transverse progressive waves. In the case under consideration, the problem is reduced to six nonlinear partial differential equations. Their solutions are sought in a special form that allows them to be satisfied. The found exact wave solutions to the considered Yang-Mills equations do not have singularities in the entire space and have finite energies that can take any positive value. The obtain results can be used to detect non-Abelian progressive waves in space.