High Frequency Perturbation of Cnoidal Waves in KdV
نویسندگان
چکیده
The Korteweg-de Vries (KdV) equation with periodic boundary conditions is considered. The interaction of a periodic solitary wave (cnoidal wave) with high frequency radiation of finite energy (L-norm) is studied. It is proved that the interaction of low frequency component (cnoidal wave) and high frequency radiation is weak for finite time in the following sense: the radiation approximately satisfies Airy equation.
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 44 شماره
صفحات -
تاریخ انتشار 2012