On spherically symmetric ’t Hooft–Polyakov monopoles

We consider a general spherically symmetric ansatz for [Formula: see text] connection depending on three arbitrary functions in gauge model with the triplet of scalar fields adjoint representation. A analytic solution Bogomol’nyi equations is derived. It depends two constants and one function radius. In particular gauge, coincides Protogenov’s solutions contains Bogomol’nyi–Prasad–Sommerfield solution. Static Euler–Lagrange are considered reduced to system nonlinear partial differential unknown functions.