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arXiv · 1704.02508

Wave Dispersion in the Linearised Fractional Korteweg - de Vries equation

Ivano Colombaro·Andrea Giusti·Francesco Mainardi
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Abstract

In this paper we discuss some properties of linear fractional dispersive waves. In particular, we compare the dispersion relations emerging from the kinematic wave equation and from the linearised Korteweg - de Vries equation with the corresponding time-fractionalized versions. For this purpose, we evaluate the expressions for the phase velocity and for the group velocity, highlighting the differences not only analytically, but also by means of illuminating plots.

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Ivano Colombaro, Andrea Giusti, Francesco Mainardi. 2017-04-08. Wave Dispersion in the Linearised Fractional Korteweg - de Vries equation. https://arxiv.org/abs/1704.02508

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