论文标题
与外部强迫的孤子互动:修改后的Korteweg-De Vries框架
Soliton interactions with an external forcing: the modified Korteweg-de Vries framework
论文作者
论文摘要
这项工作的目的是使用强制修改的korteweg-de Vries方程(MKDV)渐近地和数值研究孤子与外部强迫的相互作用。我们表明,渐近预测与以恒定速度和线性可变速度强迫的数值解非常吻合。关于使用线性变速的强迫,我们发现孤子捕获在外部强迫上的机制,其幅度在及时增加或减小,具体取决于强迫加速度还是减速。
The aim of this work is to study asymptotically and numerically the interaction of solitons with an external forcing with variable speed using the forced modified Korteweg-de Vries equation (mKdV). We show that the asymptotic predictions agree well with numerical solutions for forcing with constant speed and linear variable speed. Regarding forcing with linear variable speed, we find regimes in which the solitons are trapped at the external forcing and its amplitude increases or decreases in time depending on whether the forcing accelerates or decelerates.