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

Published 12 Mar 2020 in math.AP | (2003.05910v1)

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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