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In this paper, making use of the 't Hooft-Polyakov-Julia-Zee ansatz for theSU(2) Yang-Mills-Higgs gauge field theory, we present the straightforwardgeneralization of the Bogomoln'yi equations and its several consequences.Particularly, this is shown that this idea is able to generate new types ofnon-abelian both dyons and magnetic monopoles and, moreover, that within thenew model the scalar field can be described through the Coulomb potential,whereas, up to a constant, the non-abelian gauge field becomes the Wu-Yangmonopole.

On 't Hooft-Polyakov Monopole, Julia-Zee Dyon, and Higgs Field, throughout the Generalized Bogomoln'yi Equations