A Maple language process is utilized to find the traveling wave accurate solutions and their restricting condition equation for nonlinear Schrdinger equations with coupling characteristic without any assumptions. The expressions are arbitrary and cover all coupling solutions and non-coupling solutions. The calculation and characteristic analysis for the coupling solutions can explain the coupling effect of traveling wave solition solutions of the helix chain movement model for the alpha-helix protein and reveal the direction in which the protein activation and function are increased and fixed. The research methods in this paper provide certain ways for obtaining the traveling wave accurate solutions of the coupling nonlinear differential equations.