Parametrically excited hydrodynamic solitons

Based on the analysis of the recent experimental data, a new equation gover ning the motion of the solitons in a small rectangular water trough is prop osed 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 soliton s as well as the effect of surface tension on both breather and kink solito ns. It also predicts the reflection of double-soliton at the end walls of t he trough.