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

نویسنده

  • M. Chen School of Mathematics and Statistics, Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, ‎P‎. ‎R‎. ‎China.
چکیده مقاله:

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

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forced oscillations of a damped‎ ‎korteweg-de vries equation on a periodic domain

‎in this paper‎, ‎we investigate a damped korteweg-de‎ ‎vries equation with forcing on a periodic domain‎ ‎$mathbb{t}=mathbb{r}/(2pimathbb{z})$‎. ‎we can obtain that if the‎ ‎forcing is periodic with small amplitude‎, ‎then the solution becomes‎ ‎eventually time-periodic.

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عنوان ژورنال

دوره 42  شماره 5

صفحات  1027- 1038

تاریخ انتشار 2016-11-01

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