Work

Revised Lie Group Analysis of the Time Fractional (2+1)-Dimensional Zakharov-Kuznetsov (q, p, r) Equation

Year: 2025

Type: article

Abstract: This article presents a comprehensive study of the (2+1)-dimensional Zakharov–Kuznetsov (ZK) (q,p,r) equation with time fractional derivativeUtilizing the fractional Lie group method, we derive several results, including the symmetries, similarity reductions and conservation laws for this equation. Our findings not only correct previous errors in the literature but also introduce new results, such as the Lie transformation group and optimal system for this model. The study provides a rigorous mathematical framework for analyzing this fundamental model, which describes nonlinear ion-acoustic wave evolution in magnetized plasmas.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9060352

Authors: Jian-Gen Liu, Yu-Feng Zhang, Jing-Qun Wang

Institutions: Suzhou University of Technology, China University of Mining and Technology

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funders: National Natural Science Foundation of China, Government of Jiangsu Province, Natural Science Foundation of Jiangsu Province