**Three-Soliton Solutions**

__Standing Kink and Moving Breather collision__

This figure illustrates the collision of a moving breather with a standing kink. The velocities and shapes of solitons do not change in the collision. The only result of the collision is the phase shift of solitons. The shift of the kink position after the collision is clearly seen.

__Standing Breather and Moving Kink collision__

This figure also illustrates the kink-breather collision but here the breather is at rest and the kink moves. The only result of the collision is the phase shift of solitons. In this case, however, the shift of the breather position is not seen so clearly.