Self-similar Radiation from Numerical Rosenau-Hyman Compactons - Mathematical PhysicsReport as inadecuate




Self-similar Radiation from Numerical Rosenau-Hyman Compactons - Mathematical Physics - Download this document for free, or read online. Document in PDF available to download.

Abstract: The numerical simulation of compactons, solitary waves with compact support,is characterized by the presence of spurious phenomena, as numerically-inducedradiation, which is illustrated here using four numerical methods applied tothe Rosenau-Hyman Kp,p equation. Both forward and backward radiations areemitted from the compacton presenting a self-similar shape which has beenillustrated graphically by the proper scaling. A grid refinement study showsthat the amplitude of the radiations decreases as the grid size does,confirming its numerical origin. The front velocity and the amplitude of bothradiations have been studied as a function of both the compacton and thenumerical parameters. The amplitude of the radiations decreases exponentiallyin time, being characterized by a nearly constant scaling exponent. An ansatzfor both the backward and forward radiations corresponding to a self-similarfunction characterized by the scaling exponent is suggested by the presentnumerical results.



Author: Francisco Rus, Francisco R. Villatoro

Source: https://arxiv.org/



DOWNLOAD PDF




Related documents