Non-Lie Reduction Operators and Potential Transformations for a Special System with Applications in Plasma Physics

被引：1
|
作者：
Sophocleous, Christodoulos [1 ]
机构：
[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus
来源：
SYMMETRY-BASEL | 2024年 / 16卷 / 02期
关键词：
system of diffusion equations; reduction operators; potential equivalence transformations; exact solutions; 02.30.Jr; LINEAR DIFFUSION EQUATION; NONCLASSICAL SYMMETRIES; NONLINEAR DIFFUSION; MODEL;
D O I：
10.3390/sym16020207
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Non-Lie reduction operators, also known as nonclassical symmetries, are derived for special systems that appear in Plasma Physics. These operators are used to construct similarity mappings, which reduce the systems under study into systems of ordinary differential equations. Furthermore, potential equivalence transformations are presented. Based on these results, a number of exact solutions are constructed.
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页数：13
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