Eventual periodicity of forced oscillations of the Korteweg-de Vries type equation
نویسندگان
چکیده
منابع مشابه
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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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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Laboratory experiments have shown that when nonlinear, dispersive waves are forced periodically from one end of an undisturbed stretch of the medium of propagation, the signal eventually becomes temporally periodic at each spatial point. It is our purpose here to establish this as a fact at least in the context of a damped Korteweg-de Vries equation. Thus, consideration is given to the initial-...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2012
ISSN: 0307-904X
DOI: 10.1016/j.apm.2011.07.010