论文标题
与周期性强迫的孤立波相互作用:扩展的Korteweg-De Vries框架
Solitary wave interactions with a periodic forcing: the extended Korteweg-de Vries framework
论文作者
论文摘要
这项工作的目的是使用强制扩展的Korteweg-De Vries方程(FEKDV)来数字研究大幅度孤立波与外部周期性强迫的相互作用。关于这些相互作用,我们发现,当强迫和孤立波接近谐振剂时,孤立波可以来回弹跳,保持接近其初始位置,或者它可以远离其初始位置而不会反转其方向。此外,我们验证了数值结果在渐近近似中对广泛强迫均吻合。
The aim of this work is to study numerically the interaction of large amplitude solitary waves with an external periodic forcing using the forced extended Korteweg-de Vries equation (feKdV). Regarding these interactions, we find that a solitary wave can bounce back and forth remaining close to its initial position when the forcing and the solitary wave are near resonant or it can move away from its initial position without reversing their direction. Additionally, we verify that the numerical results agree well within the asymptotic approximation for broad the forcings.