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arXiv · 2003.05910

Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity

Jean-Claude Saut·Yuexun Wang
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Abstract

We prove global existence and modified scattering for the solutions of the Cauchy problem to the fractional Korteweg-de Vries equation with cubic nonlinearity for small, smooth and localized initial data.

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Jean-Claude Saut, Yuexun Wang. 2020-03-12. Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity. https://doi.org/10.3934/dcds.2020312

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