<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

Dispersive Behaviours in Complex Structures

“Alexandru Ioan Cuza” University of Iaşi

“Grigore T. Popa” University of Medicine and Pharmacy

Faculty of Medicine, Biophysics and Medical Physics Department

BULETINUL INSTITUTULUI POLITEHNIC DIN IAȘI. Secția Matematica. Mecanică Teoretică. Fizică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Dispersive Behaviours in Complex Structures"}

In the framework of the Scale Relativity Theory, a fractal Korteweg-de Vries-type equation for describing dispersive behaviours of any complex structure is...

Dispersive Behaviours in Complex Structures

Publié en ligne: 17 mars 2022

Pages: 43 - 54

Reçu: 03 août 2021

Accepté: 09 sept. 2021

DOI: https://doi.org/10.2478/bipmf-2021-0015

Mots clés
dispersive behaviours, Scale Relativity Theory, fractal Korteweg-de Vries-type equation, complex structures

© 2021 Irina Butuc et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Dispersive Behaviours in Complex Structures

Publié en ligne: 17 mars 2022

Pages: 43 - 54

Reçu: 03 août 2021

Accepté: 09 sept. 2021

DOI: https://doi.org/10.2478/bipmf-2021-0015

Mots clésdispersive behaviours, Scale Relativity Theory, fractal Korteweg-de Vries-type equation, complex structures

© 2021 Irina Butuc et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
dispersive behaviours, Scale Relativity Theory, fractal Korteweg-de Vries-type equation, complex structures