This article is concerned with the unconditional well-posedness for the Kawahara equation on the real line and shows that this holds true for initial data in $L^2(\mathbb{R})$. This is achieved by applying an infinite iteration scheme of normal form reductions.

中文翻译：

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川原方程的无条件适定性

本文关注的是实线上的Kawahara方程的无条件适定性，并表明这适用于初始数据。 ${\mathrm{大号}}^{\mathrm{2个}}（\mathbb{[R}）$。这是通过应用标准形式约简的无限迭代方案来实现的。