LIE GROUP ANALYSIS OF FRACTAL DIFFERENTIAL-DIFFERENCE EQUATIONS

被引：1
作者：
Wang, Yan [1 ,2 ]
Xu, Li [1 ]
Wang, Yu-Jin [1 ]
Liu, Jian-Gen [3 ]
机构：
[1] Tianjin Univ Commerce, Sch Sci, Tianjin 300134, Peoples R China
[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
[3] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2021年 / 29卷 / 07期
关键词：
Lattice Problem; Two-Scale Fractal; Lie Group Analysis; The Differential-Difference Burgers Equation; The Klein-Gordon Equation; Analytical Solutions; Two-Scale Transform; SYMMETRIES; CALCULUS; MODEL;
D O I：
10.1142/S0218348X21501978
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A difference equation can well describe a lattice problem, and its dynamical property was always modeled approximately by a differential-difference equation. This paper suggests a fractal differential-difference model by taking into account the lattice's geometry. The fractal differential-difference Burgers equation and the fractal Klein-Gordon equation are used as examples to study the solution properties by the Lie group method, and various Lie algebras of the corresponding Lie transformation group are also obtained.
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页数：7
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