Radiation in numerical compactons from finite element methods

Authors:
Julio Garralón;Francisco Rus;Francisco R. Villatoro
Affiliations:
Dept. Lenguajes y Ciencias de la Computación, E.T.S. Ingenieros de Telecomunicacióon, Universidad de Málaga, Málaga, Spain;Dept. Lenguajes y Ciencias de la Computación, E.T.S. Ingenieros de Telecomunicacióon, Universidad de Málaga, Málaga, Spain;Dept. Lenguajes y Ciencias de la Computación, E.T.S. Ingenieros Industriales, Universidad de Málaga, Málaga, Spain
Venue:
MATH'05 Proceedings of the 8th WSEAS International Conference on Applied Mathematics
Year:
2005

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Abstract

The numerical simulation of the propagation of nonlinear waves may present numerically-induced 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 simulations, both having self-similar envelope profiles and high frequency carriers. The amplitude and velocity of the envelope of both radiations are determined.