重力一表面張力孤立波の非線形相互作用に関する研究

概要

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Some equations for finite amplitude waves in liquids with constant depth are presented, taking the effect of higher orden dispersion into account. Exact solutions of these equations are given by elliptic and hyperbolic functions. 　Head-on collision of identical shallow-water solitary waves near the critical depth where dispersion due to gravity balances with that due to surface tension is studied by means of numerical and theoretical analyses. It is found numerically that the solitary waves retain their identity even after repeated collisions. It is shown by calculating the separation distance between an initial wave and the time-evolution waves that the solitary waves are the soliton in a nonintegrable system.
津山工業高等専門学校の論文
1992-02-25