Contributions to the Theory of Waves in Non-linear Dispersive Systems

作者: M. J. LIGHTHILL

DOI: 10.1093/IMAMAT/1.3.269

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摘要: This paper makes contributions to the general theory of wave propagation in conservative systems under conditions when proportional change amplitude or wavenumber over a distance one wavelength is very small. For linear systems, such governed by well-known group velocity; there “frequency dispersion”, sense that energy components different frequency propagated at velocities. non-linear without dispersion, e.g. acoustic different, but also well-known, modification waveform occurs. It may be called “amplitude values an variable like pressure are speeds.

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