<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

Publicado en línea: 17 mar 2022

Páginas: 43 - 54

Recibido: 03 ago 2021

Aceptado: 09 sept 2021

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

Palabras clave
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

Publicado en línea: 17 mar 2022

Páginas: 43 - 54

Recibido: 03 ago 2021

Aceptado: 09 sept 2021

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

Palabras clavedispersive 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.

Palabras clave
dispersive behaviours, Scale Relativity Theory, fractal Korteweg-de Vries-type equation, complex structures