GENERALIZED VARIATIONAL STRUCTURE OF THE FRACTAL MODIFIED KDV-ZAKHAROV-KUZNETSOV EQUATION

被引：24
|
作者：
Wang, Kang-jia [1 ]
Xu, Peng [1 ]
机构：
[1] Henan Polytech Univ Jiaozuo, Sch Phys & Elect Informat Engn, Jiaozuo 454003, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 07期
关键词：
Generalized Variational Structure; Fractal Derivative; Two-Scale Transform; Conservation Laws; Semi-Inverse Method; CALCULUS; MODEL; PERMEABILITY;
D O I：
10.1142/S0218348X23500846
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A fractal modification of the modified KdV-Zakharov-Kuznetsov equation is suggested and its fractal generalized variational structure is established by means of the semi-inverse method. Furthermore, the obtained fractal generalized variational structure is discussed and verified through the two-scale transform from another dimension field in detail. The obtained fractal generalized variational structure reveals the conservation laws via the energy form in the fractal space and can be employed to study the fractal solitary wave properties.
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页数：7
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