Dispersive Behaviours in Complex Structures

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 obtained. In the one-dimensional case, the general solution of this equation show that the dispersive behaviours of any complex structure are gi...

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Veröffentlicht in:BULETINUL INSTITUTULUI POLITEHNIC DIN IAȘI. Secția Matematica. Mecanică Teoretică. Fizică 2021-09, Vol.67 (3), p.43-54
Hauptverfasser: Butuc, Irina, Ghizdovăţ, Vlad
Format: Artikel
Sprache:eng
Schlagworte:
complex structures
dispersive behaviours
fractal Korteweg-de Vries-type equation
Scale Relativity Theory
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Zusammenfassung: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.
ISSN:2537-4990
2537-4990
DOI:10.2478/bipmf-2021-0015