Forced oscillations of a damped‎ ‎Korteweg-de Vries equation on a periodic domain

Document Type : Research Paper


School of Mathematics and Statistics, Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, ‎P‎. ‎R‎. ‎China.


‎In this paper‎, ‎we investigate a damped Korteweg-de‎ ‎Vries equation with forcing on a periodic domain‎ ‎$\mathbb{T}=\mathbb{R}/(2\pi\mathbb{Z})$‎. ‎We can obtain that if the‎ ‎forcing is periodic with small amplitude‎, ‎then the solution becomes‎ ‎eventually time-periodic.


Main Subjects

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