INVESTIGATION OF THE FRACTIONAL KdV–ZAKHAROV–KUZNETSOV EQUATION ARISING IN PLASMA PHYSICS

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

FRACTALS (fractals), 2023, vol. 31, issue 07, 1-15

Abstract: The KdV–Zakharov–Kuznetsov equation is an important and interesting mathematical model in plasma physics, which is used to describe the effect of magnetic field on weak nonlinear ion-acoustic waves. A fractional KdV–Zakharov–Kuznetsov equation in the M-truncated derivative sense is investigated. By taking into account the fractional tanhδ method and fractional sin eδ–cosineδ method, larger numbers of a new type of solitary wave solutions are obtained. The dynamic characteristics of these new solitary wave solutions are elaborated by sketching some three-dimensional (3D) and two-dimensional (2D) figures. The study reveals that the proposed two methods are very powerful to solve fractional evolution equations.

Keywords: Fractional KdV–Zakharov–Kuznetsov Equation; Fractional tanhδ Method; Fractional sineδ–cosineδ Method; M-Truncated Derivative (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X23500652
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:07:n:s0218348x23500652

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X23500652

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 ().