SYMMETRY SCHEME OF THE TIME FRACTIONAL (3 + 1)-DIMENSIONAL MODIFIED EXTENDED ZAKHAROV–KUZNETSOV EQUATION IN PLASMA PHYSICS

Jian-Gen Liu, Bin-Lu Feng and Yu-Feng Zhang
Additional contact information
Jian-Gen Liu: School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, Jiangsu, P. R. China†Qin Institute of Mathematics, Shanghai Hanjing Centre for Science and Technology, Yexie Town, Songjiang District, Shanghai 201609, P. R. China
Bin-Lu Feng: ��School of Mathematics and Information Sciences, Weifang University, Weifang 261000, Shandong, P. R. China
Yu-Feng Zhang: �School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, P. R. China

FRACTALS (fractals), 2025, vol. 33, issue 01, 1-11

Abstract: Higher-dimensional nonlinear models can describe more complex evolutionary mechanisms. In this paper, we considered the time fractional (3 + 1)-dimensional modified extended Zakharov–Kuznetsov equation with the sense of the Riemann–Liouville fractional derivative in plasma physics. In the first place, the existence of symmetry of this studied equation through the symmetry scheme was proved. Then, the optimal system to the time fractional (3 + 1)-dimensional modified extended Zakharov–Kuznetsov equation was also constructed. Subsequently, the time fractional higher-dimensional equation was reduced into the lower-dimensional fractional differential equation with the help of the Erdélyi–Kober fractional operators. Last, some conservation laws by using a new conservation theorem were also given. These novel results provide a window for us to discover this high-dimensional nonlinear equation.

Keywords: Symmetry Scheme; Time Fractional (3 + 1)-dimensional Modified Extended Zakharov–Kuznetsov Equation; Optimal System; Conservation Laws (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X25500045
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:33:y:2025:i:01:n:s0218348x25500045

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X25500045

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 ().