The Interaction Between Hydrodynamic Nonpropagating Solitons

The interaction between hydrodynamic nonpropagating solitons in a water tank has been investigated within the framework of Larraza & Putterman and Miles theory. It is shown that these solitons, similar to one-dimensional boats, never pass through each other and exchange places, and thus their interaction can be described in terms of two-body potential. The interaction potential for two solitons with opposite polarity and that for solitons with like polarity are found to be pure repulsive and anharmonic, respectively. Based on the results, it is explained well why two solitons of an opposite pair repel each other as a distance is reached. while that of a like pair can oscillate about each other.