Dispersive Behaviours in Complex Structures

Irina Butuc; Vlad Ghizdovăţ

doi:10.2478/bipmf-2021-0015

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Dispersive Behaviours in Complex Structures

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

Volume 67 (2021): Issue 3 (September 2021)

By: Irina Butuc and Vlad Ghizdovăţ

Open Access

|Mar 2022

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.

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Articles in this issue

DOI: https://doi.org/10.2478/bipmf-2021-0015 | Journal eISSN: 2537-4990

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Language: English

Page range: 43 - 54

Submitted on: Aug 3, 2021

Accepted on: Sep 9, 2021

Published on: Mar 17, 2022

Published by: Gheorghe Asachi Technical University of Iasi

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

dispersive behaviours,

Scale Relativity Theory,

fractal Korteweg-de Vries-type equation,

complex structures

Related subjects:

Engineering,

Mechanical engineering,

Mechanics,

Materials sciences,

Materials sciences, other,

Physics,

Theoretical and mathematical physics,

Technical and applied physics

© 2022 Irina Butuc, Vlad Ghizdovăţ, published by Gheorghe Asachi Technical University of Iasi
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 67 (2021): Issue 3 (September 2021)