About this article
Published Online: Mar 17, 2022
Page range: 43 - 54
Received: Aug 03, 2021
Accepted: Sep 09, 2021
DOI: https://doi.org/10.2478/bipmf-2021-0015
Keywords
© 2021 Irina Butuc et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In the framework of the Scale Relativity Theory, a fractal Korteweg-de Vries-type equation for describing dispersive behaviours of any complex structure is obtained. In the one-dimensional case, the general solution of this equation show that the dispersive behaviours of any complex structure are given by means of cnoidal oscillation modes. Through these modes degeneration, dispersive behaviours of soliton, soliton-package, harmonic etc. result.