三同向前進孤立波之理論解析

A Note on the Interaction of Three UNI-Directional Solitary Waves

The problem of three solitary waves with different amplitudes moving along the same direction is reinvestigated in this study. Our emphasis is mainly placed on the phase shifts of solitons. We provide a criterion to determine the phase shift of the middle wave which may he either pushed forward or pulled backward. The phase shifts of the largest and the smallest waves are also well discussed in present work. 本文以理論重新分析三孤立波治同向前近時之互制機制。利用對數轉換法，我們可以解得波形發展型態及碰撞後之相位變化。本文將著重於相位變化的分析。除了最大波及最小波的相位會分別有超前及落後的現象外，我們提供了中間波的相位變化判別式，不同的起始波高將會造成中間的的相位超前、相位落後及零相位變化。