The amplitude of particle velocity of one soliton in Toda lattice is given. The paper also provides the dependence of the maximum velocity in the interacting process of both solitions on the initial amplitude prior to collision.

A new artificial compressibility method is discussed. It is a preconditional method presented by E. Turkel. We calculated the cavity flow model by explicit scheme and diagonalized implicit approximate factorization splitting scheme and compared with Chorin's artificial compressibility method. Final results show the preconditional method can relax restrict for the time step and Reynolds number and accelerated convergence.