ANALYTICAL SOLUTION OF THE FRACTAL CUBIC–QUINTIC DUFFING EQUATION

ELà AS-ZÚÑIGA Alex, Luis Manuel Palacios-Pineda, Isaac H. Jimã‰nez-Cedeã‘o (), Oscar Martã Nez-Romero () and Daniel Olvera-Trejo ()
Additional contact information
ELà AS-ZÚÑIGA Alex: Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Avenida Eugenio Garza Sada 2501, Monterrey 64849, Mexico
Luis Manuel Palacios-Pineda: Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Avenida Eugenio Garza Sada 2501, Monterrey 64849, Mexico†Tecnológico Nacional de México/Instituto, Tecnológico de Pachuca, Carr. México-Pachuca Km, 87.5, Pachuca, Hidalgo, Código Postal 42080, Mexico
Isaac H. Jimã‰nez-Cedeã‘o: Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Avenida Eugenio Garza Sada 2501, Monterrey 64849, Mexico
Oscar Martã Nez-Romero: Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Avenida Eugenio Garza Sada 2501, Monterrey 64849, Mexico
Daniel Olvera-Trejo: Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Avenida Eugenio Garza Sada 2501, Monterrey 64849, Mexico

FRACTALS (fractals), 2021, vol. 29, issue 04, 1-7

Abstract: In this work, the fractal cubic–quintic Duffing’s equation analytical solution is obtained using the two-scale transform and elliptic functions. Then, the analytical solution is used to study wave propagation in a fractal medium. Since the value of the fractal parameter adjusts the pulse frequency and wavelength propagation velocity, depending upon the fractal medium physical properties, it is found that the information contained in the pulse can be carried out faster over long distances without distortion or loss of intensities.This paper offers a new light on the applicability of the two-scale transform of fractal theory to comprehend natural phenomena.

Keywords: Jacobian Elliptic Functions; Cubic–Quintic Nonlinear Duffing’s; Two-Scale Dimension Transform; Solitons (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X21500808
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:04:n:s0218348x21500808

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X21500808

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().