2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132358In this paper, we consider a dynamical system related to the Yang-Mills system for a field with gauge group SU(2). We solve this system in terms of genus two hyperelliptic functions and we show that it is algebraic completely integrable in the generalized sense.13 pages, to be published in International Journal of Pure and Applied Mathematical SciencesMathematical PhysicsDynamical Systems70H06, 14H55, 14K20, 14H70.text