Differential invariants for third-order evolution equations

被引：4

作者：

Tsaousi, C. ^{[1
]}

Tracina, R. ^{[2
]}

Sophocleous, C. ^{[1
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

[2] Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 20卷 / 02期

关键词：

Evolution equations; Differential invariants; Equivalence transformations; Linearization; REACTION-DIFFUSION EQUATIONS; LINEARIZATION; CLASSIFICATION; SYSTEMS; FAMILY; POINT;

D O I：

10.1016/j.cnsns.2014.05.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a general class of third order evolution equations. We construct differential invariants with the employment of the infinitesimal method that using equivalence groups. We use the differential invariants to classify those equations from the class that can be mapped into a specific linear equation. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：352 / 359

页数：8

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