FRACTAL TRAVELING WAVE SOLUTIONS FOR THE FRACTAL-FRACTIONAL ABLOWITZ–KAUP–NEWELL–SEGUR MODEL

Kangle Wang ()
Additional contact information
Kangle Wang: School of Mathematics and Information Science, Henan Polytechnic University, 454000 Jiaozuo, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 09, 1-9

Abstract: In this paper, we mainly investigate the fractal-fractional Ablowitz–Kaup–Newell–Segur model, which is used to describe the propagation of the shallow wave water with unsmooth boundaries based on the conformable fractional derivative. A simple and powerful mathematical method is established to achieve the fractal traveling wave solutions for the fractal-fractional Ablowitz–Kaup–Newell–Segur model, which is variational reduced differential wave method. Finally, the geometric and physical properties of these fractal traveling wave solutions are elaborated by a number of three-dimensional graphics. The novel mathematical method provides a new idea for studying the fractal evolution models.

Keywords: Conformable Fractional Derivative; Fractal Variational Principle; Ablowitz–Kaup–Newell–Segur Model; Fractal Traveling Wave Solution (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X22501717
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:30:y:2022:i:09:n:s0218348x22501717

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X22501717

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 ().