A Comparison of Solutions of Two Model Equations for Long Waves.

摘要: Abstract : This paper is concerned with mathematical models representing the unidirectional propagation of weakly nonlinear dispersive waves. Interest will be directed toward two particular that are originally studied in context surface-wave phenomena open-channel flows. The purpose present to make a quantitative comparison between solutions initial-value problem for each these models. basic conclusion study that, on long time scale T naturally related underlying physical situation, equations predict same outcome within their implied order accuracy. In this case choice one over other describe apparently immaterial, factors incidental convenience probably providing main criteria given situation. (Author)