On group of Lie symmetry analysis, explicit series solutions and conservation laws for the time-fractional (2+1)-dimensional Zakharov-Kuznetsov (q, p, r) equation

被引：11

作者：

Al-deiakeh, Rawya ^{[1
]}

Alquran, Marwan ^{[2
]}

Ali, Mohammed ^{[2
]}

Yusuf, Abdullahi ^{[3
,4
]}

Momani, Shaher ^{[1
,5
]}

机构：

[1] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates

[2] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan

[3] Biruni Univ, Dept Comp Engn, Istanbul, Turkey

[4] Near East Univ TRNC, Dept Math, Mersin 10, TR-99138 Nicosia, Turkey

[5] Ajman Univ, Coll Humanities & Sci, Dept Math & Sci, Ajman, U Arab Emirates

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2022年 / 176卷

关键词：

Lie symmetry analysis; Explicit power series; Conservation laws; Fractional Zakharov-Kuznetsov (q; p; r); equation; ION-ACOUSTIC-WAVES; CAPUTO; SYSTEM; DERIVATIVES;

D O I：

10.1016/j.geomphys.2022.104512

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This research article intends to utilize results on Lie symmetry analysis, explicit series solutions and conservation laws for the time-fractional Zakharov-Kuznetsov (q, p, r) equation in three-dimensional space. Such a fractional equation yields the mathematical model which describes an occurrence of stationary spatial stripe modalities in a threedimensional system in the framework of the theory of conservation laws. The governing equation is solved analytically by the power series method, where the total derivative in the sense of Riemann-Liouville type. Simulation results are systematically validated through a series of test cases. Strong evidence shows that the model and the method are conservative and robust.(c) 2022 Elsevier B.V. All rights reserved.

引用

页数：11

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