VARIATIONAL PERSPECTIVE TO FRACTAL KAWAHARA MODEL IN MICROGRAVITY SPACE

Shao Wen Yao ()
Additional contact information
Shao Wen Yao: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454099, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 01, 1-7

Abstract: In this study, we present the idea of variational fractal transform method to find the analytical solution for the fractal Kawahara equation that arises in shallow water waves in the microgravity space or with the unsmooth boundary. The fractal semi-inverse method is used to establish a fractal variational formulation of the problem, which provides the analysis of the soliton solution and its physical properties. An example is considered to show that this new scheme is straightforward and efficient, and can be generalized to other nonlinear evolution equations with fractal derivatives performance.

Keywords: Fractal Kawahara Model; He’s Fractal Semi-Inverse Method; Variational Fractal Transform Method (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X23500123
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:31:y:2023:i:01:n:s0218348x23500123

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X23500123

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 ().