论文标题

改良的Korteweg-De Vries方程的多润呼吸器的独特性提高了

Improved uniqueness of multi-breathers of the modified Korteweg-de Vries equation

论文作者

Côte, Raphaël, Semenov, Alexander

论文摘要

我们考虑(MKDV)的多呼吸。以前,构建了平滑的多呼吸器,并在两种情况下被证明是唯一的:首先,如果超级顺序融合到剖面,则在涉及的所有呼吸器的所有速度都是正(没有收敛速度)的假设下。简短说明的目的是改善第二个结果:我们表明,如果最多一个速度为负或零,那么独特性仍然存在。

We consider multi-breathers of (mKdV). Previously, a smooth multi-breather was constructed, and proved to be unique in two cases: first, if the class of super-polynomial convergence to the profile, and second, under the assumption that all speeds of the breathers involved are positive (without rate of convergence). The goal of this short note is to improve the second result: we show that uniqueness still holds if at most one velocity is negative or zero.

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