Ivano Colombaro, Andrea Giusti, Francesco Mainardi, "Wave Dispersion in the Linearised Fractional Korteweg – De Vries Equation," WSEAS Transactions on Systems, vol. 16, pp. 43-46, 2017, DOI:
Ivano Colombaro, Andrea Giusti, Francesco Mainardi. Wave Dispersion in the Linearised Fractional Korteweg – De Vries Equation.
WSEAS Transactions on Systems. 2017;16:43-46.
WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 16, 2017
Wave Dispersion in the Linearised Fractional Korteweg – De Vries Equation
Authors: , ,
Abstract: In this paper we discuss some properties of linear fractional dispersive waves. In particular, we compare the dispersion relations emerging from the D’Alembert equation and from the linearized Korteweg – deVries 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.
Pages: 43-46 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 16, 2017, Art. #6 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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