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In this paper, we use a modified Abelian field strength tensor inGeorgi-Glashow model and obtain a new Julia-Zee dyon equations whichdegenerated into the 't Hooft-Polyakov monopole equations when the profilefunction J=0. Combining a three-step iterative shooting argument and afixed-point theorem approach, we establish the existence of the static solutionof the Julia-Zee dyon equations and discuss its qualitative properties. Inaddition, we show that the total magnetic charge is a constant related to thegauge coupling constant and the total electric charge depend continuously onthe profile functions.

Existence of Julia-Zee dyon and 't Hooft-Polyakov monopole with new field strength tensor