An Application of Equivalence Transformations to Reaction Diffusion Equations

被引：18
|
作者：
Torrisi, Mariano [1 ]
Tracina, Rita [1 ]
机构：
[1] Univ Catania, Dept Math & Comp Sci, I-95125 Catania, Italy
来源：
SYMMETRY-BASEL | 2015年 / 7卷 / 04期
关键词：
equivalence transformations; groups of transformations; classical symmetries; biomathematical models; 2ND-ORDER EVOLUTION-EQUATIONS; AEGYPTI DISPERSAL DYNAMICS; KORTEWEG-DEVRIES EQUATIONS; CONVECTION TERMS; TRAVELING-WAVES; SYMMETRIES; MODEL; ANSATZE; SYSTEM;
D O I：
10.3390/sym7041929
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：
In this paper, we consider a quite general class of advection reaction diffusion systems. By using an equivalence generator, derived in a previous paper, the authors apply a projection theorem to determine some special forms of the constitutive functions that allow the extension by one of the two-dimensional principal Lie algebra. As an example, a special case is discussed at the end of the paper.
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页码：1929 / 1944
页数：16
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