Self-similar radiation from numerical Rosenau–Hyman compactons
نویسندگان
چکیده
منابع مشابه
Self-similar radiation from numerical Rosenau-Hyman compactons
The numerical simulation of compactons, solitary waves with compact support, is characterized by the presence of spurious phenomena, as numerically-induced radiation, which is illustrated here using four numerical methods applied to the RosenauHyman K(p, p) equation. Both forward and backward radiations are emitted from the compacton presenting a self-similar shape which has been illustrated gr...
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The numerical simulation of the propagation of nonlinear waves may present numericallyinduced radiation. Compactons, solitary waves with compact support, are no exception. The numerical radiation generated by compactons of the Rosenau-Hyman K(2, 2) equation calculated by means of a fourth-order finite element method is illustrated. Small-amplitude forward and backward radiation are shown in the...
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2007
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2007.07.024