Kink and solitary waves may propagate together.

It is shown numerically that kink-shaped and bell-shaped localized moving defects may coexist in a biatomic crystalline lattice. The shape and velocity of these waves are defined from a corresponding single wave exact traveling wave solution to the governing coupled nonlinear equations. The features of the initial conditions, or an external loading, are found that provide simultaneous propagation of these nonlinear moving defects, inputs, and their amplitudes.