VARIATIONAL PERSPECTIVE TO (2+1)-DIMENSIONAL KADOMTSEV–PETVIASHVILI MODEL AND ITS FRACTAL MODEL

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

FRACTALS (fractals), 2024, vol. 32, issue 04, 1-6

Abstract: In this work, the (2+1)-dimensional Kadomtsev–Petviashvili model is investigated. A novel variational scheme, namely, the variational transform wave method (VTWM), is successfully established to seek the solitary wave solution of the Kadomtsev–Petviashvili model. Furthermore, the fractal solitary solution of fractal Kadomtsev–Petviashvili model is also studied based on the local fractional derivative. Numerical examples are given to fully demonstrate that the VTWM is straightforward, efficient and attractive. Finally, the physical properties of solitary wave solutions are demonstrated by some 3D graphs.

Keywords: Variational Theory; Local Fractional Derivative; Solitary Wave Solution; Fractal Calculus (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X2440019X
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:32:y:2024:i:04:n:s0218348x2440019x

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X2440019X

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 ().