Parametrically excited hydrodynamic solitons

Abstract

Based on the analysis of the recent experimental data, a new equation governing the motion of the solitons in a small rectangular water trough is proposed by using multiple-scale method. Both analytical and numerical analyses reveal that the equation gives a good explanation for some of the typical experimental observations on the evolution of the single and double solitons as well as the effect of surface tension on both breather and kink solitons. It also predicts the reflection of double-soliton at the end walls of the trough.