SOLITONIC EXCITATIONS AND INTERACTIONS IN THE THREE-SPINE α-HELICAL PROTEIN WITH INHOMOGENEITY

With consideration of the molecular structure containing three hydrogen spines and the existence of the protein inhomogeneity, the bioenergy transport mechanism in the a-helical protein is investigated, which is described by the three-coupled perturbed nonlinear Schrodinger equations. Via symbolic computation, an infinite number of conservation laws and multisoliton solutions are derived for the underlying soliton dynamics with certain constraints. Through the asymptotic analysis, the solitonic excitations are shown to be influenced by the thermal and structural inhomogeneities, which can convert the rectilinear propagations into the curvilinear propagations and make the energy fluctuate. In particular, the shape changing collision and periodic interference of the solitonic excitations are analyzed. Energy exchange among the three hydrogen bonding spines is demonstrated, revealing the potential connection among three spines that used to be ignored in the one-spine model. The solitonic interference period is found to be determined by the thermal and structural inhomogeneities. Interactions among three solitonic excitations are also discussed under the protein inhomogeneity.