Wave Dispersion in the Linearised Fractional Korteweg - de Vries equation
Mathematical Physics
2017-04-11 v1 Materials Science
math.MP
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.
Keywords
Cite
@article{arxiv.1704.02508,
title = {Wave Dispersion in the Linearised Fractional Korteweg - de Vries equation},
author = {Ivano Colombaro and Andrea Giusti and Francesco Mainardi},
journal= {arXiv preprint arXiv:1704.02508},
year = {2017}
}
Comments
7 pages, 5 figures