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Simulation of Traveling Solitary Plane Waves
Authors:Ya Ya Rushchitskii  E V Terletskaya
Institution:(1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev;(2) T. G. Shevchenko National University, Kiev, Ukraine
Abstract:The possibility of propagation of solitary plane waves with the Whittaker profile in materials with a microstructure (composites) is discussed. Solitary waves are defined as aperiodic smooth waves with an initial profile that is equal to zero everywhere except for some finite interval. Functions with indices 0.0, 0.1, –1/4, and 1/4 are chosen for computer simulation. It is observed that with some restrictions on the time or distance of propagation in the material, two modes of the traveling wave with the Whittaker profile and different phase-dependent phase velocities propagate simultaneously. The discussion section focuses attention on the conditions of blanking of the second mode for small values of the phase
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