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.

引用

页数：7

共 56 条

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