Dispersive Behaviours in Complex Structures-Reference-Cited by-同舟云学术

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Dispersive Behaviours in Complex Structures

Published:2021-09-01 Issue:3 Volume:67 Page:43-54
ISSN:2537-4990
Container-title:BULETINUL INSTITUTULUI POLITEHNIC DIN IAȘI. Secția Matematica. Mecanică Teoretică. Fizică
language:en
Short-container-title:

Author:

Butuc Irina¹,Ghizdovăţ Vlad²

Affiliation:

1. “Alexandru Ioan Cuza” University of Iaşi , Faculty of Physics , Iaşi , Romania

2. “Grigore T. Popa” University of Medicine and Pharmacy , Faculty of Medicine, Biophysics and Medical Physics Department , Iaşi , Romania

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/bipmf-2021-0015

Reference17 articles.

1. Armitage J.V., Elliptic Functions, Cambridge, Cambridge University Press (2006).

2. Aronstein D.L., Stroud C.R., Fractional Wave-Function Revivals in the Infinite Square Well, Physical Review A 55, 6, 4526-4537 (1997).10.1103/PhysRevA.55.4526

3. Ball P., The Self-Made Tapestry: Pattern Formation in Nature, Oxford, Oxford University Press (1999).

4. Ball P., Critical Mass: How One Thing Leads to Another, London, Macmillan (2004).

5. Bar-Yam Y., Dynamics of Complex Systems, Boston, Addison-Wesley (1997).

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