Influences o the nonlinear substrate potential on kinetic properties of the solitary wave in a discrete nonlinear lattice

Using a simplified method of quasidiscreteness multiple scales, we have studied solitary wave solutions in a discrete nonlinear lattice with a nonlinear substrate potential, it is shown that the nonlinear substrate potential influences kinetic properties of the solitatry wave, such as frequences of the carrier wave, the group velocity, the vibration amplitude. On the other hand, we have calculateted numerically nonlinear kinetic equations, and find that approximate solutions obtained with the help of multiple-scales methods are in good agreement with the results of numerical simulations of computers. (authors)