论文标题

关于KDV初始基准的分裂参数与其守恒量之间的连接

On connection between the splitting parameters of KdV initial datum and its conservation quantities

论文作者

Samokhin, Alexey

论文摘要

Korteweg-de Vries方程的任意紧凑型辅助初始基准渐近地分成孤子和辐射尾,向相反的方向移动。我们提供了一种仅使用保护定律的孤子子的数量和幅度和尾巴的某些积分特性的方法。

An arbitrary compact-support initial datum for the Korteweg-de Vries equation asymptotically splits into solitons and a radiation tail, moving in opposite direction. We give asimple method to predict the number and amplitudes of resulting solitons and some integral characteristics of the tail using only conservation laws.

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