Collisions between two solitary waves. Part 2. A numerical study

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Abstract
Collisions between two solitary waves are investigated using a numerical scheme. The phase shifts and maximum amplitude of a collision are checked with a corresponding perturbation calculation and compared with the available experiments. We found a wave train trailing behind each of the emerging solitary waves from a head-on collision. The properties of the wave train are in agreement with those of the perturbation solution. After the collision, the solitary waves recover almost all of their original amplitude for the length of time in our calculation. However, the difference (less than 2 % of their original value) persists and accounts for the energy residing in the wave train.