Science and Education Publishing Applied Mathematics and Physics 2 3 2014 06 09 On ’t Hooft–Polyakov Monopole, Julia–Zee Dyon, and Higgs Field, throughout the Generalized Bogomoln’yi Equations 119 123 EN Lukasz Andrzej Glinka B.M. Birla Science Centre, Hyderabad, India AMP2014238 10.12691/amp-2-3-8 2014 05 24 2014 06 02 2014 06 09 In this paper, making use of the’tHooft–Polyakov–Julia–Zeeansatz for the SU(2) Yang–Mills–Higgs gauge field theory, we present the straightforward generalization of the Bogomoln’yi equations and its several consequences. Particularly, this is shown that this idea is able to generate new types of non-abelian both dyons and magnetic monopoles and, moreover, that within the new model the scalar field can be described through the Coulomb potential, whereas, upto aconstant, the non-abelian gauge field becomes the Wu-Yang monopole.