Atwo dimension incompressive MHDsimulation is carried out to study the nonlinear waves caused by Kelvin-Helmholtz instability. It is found that three are two attractors. When M
A>8, the system develops towards a steady state one; When M
A<8, it develops towards a periodic attractor. At the boundarylayer of the magnetosphere, the condition of M
A<8 is sa-tified. As a result the amplitude of the K-Hwaves should change periodically. The role of magnetic field in K-Hinstability is also studied. The magnetic field may make the transport of the momentum more efficient.