The features of nonlinear excitation (or soliton motion) and energy transport in the ï¡Âhelical protein molecules arising from the energy released in the hydrolysis of adenosine triphosphate (ATP) molecules, which is a basic problem in life science and related to many biological processes, are studied and reviewed systematically. Based on different understanding of properties of structure of ï¡Âhelical protein molecules some theoretical models of the nonlinear excitation and energy transport along the molecular chains have been proposed and established, A brief survey of past researches on different models and theories of energy, including DavydovÂs, TakenoÂs, YomosaÂs, Brown et alÂs, SchweitzerÂs, Cruzeiro-HanssonÂs, FornerÂs and PangÂs models were first stated and reviewed in this paper. Subsequently we studied and reviewed mainly and systematically the properties, thermal stability and lifetimes of the carriers (solitons) transporting the energy at physiological temperature 300K in PangÂs and DavydovÂs theories. From these investigations we know that the carrier (soliton) of energy transport in the ï¡Âhelical protein molecules in PangÂs model has a higher binding energy, higher thermal stability and larger lifetime at 300K relative to those of DavydovÂs model, in which the lifetime of the new soliton at 300K is enough large and belongs to the order of 10-10 second orô/ô0ï³700. Thus we can conclude that the soliton in PangÂs model is exactly the carrier of the energy transport, PangÂs theory is appropriate to ï¡Âhelical protein molecules.