“…Because of its influence on coastal inundation, beach erosion and the ecological health of coastal waters, the interaction of vegetation and storm waves or tsunamis have also received increasing attention. For example, wave flume simulation of kelps, seagrasses, and coastal trees have been conducted by [1,3,6,7,23,29,33,34,38,40,42], among others. Mathematical models starting from macro-scale (wavelength-scale) equations have been proposed by many (e.g., [5,16,22,17] etc.).…”