Differential invariants: Theorem of commutativity

被引：5

作者：

Chupakhin, Alexander P. ^{[1
]}

机构：

[1] M.A. Lavrentyev Inst. Hydrodynam., SB RAS

来源：

Communications in Nonlinear Science and Numerical Simulation | 2004年 / 9卷 / 01期

关键词：

Algebra of invariant differentiation operators; Basis; Differential invariants;

D O I：

10.1016/S1007-5704(03)00012-1

中图分类号：

学科分类号：

摘要：

The paper reviews the main statements of the theory of differential invariants of continuous groups. The study of the Lie algebra structure of invariant differentiation operators showed it reducible to abelian by substitution of the basis over the field of invariants. The basis of differential invariants and the algebra of invariant differentiation operators for the Lie algebra of the symmetry group of Korteweg-de Vries equation were calculated. The basis was proved to consist of two generating elements of the first and the second order. © 2003 Elsevier B.V. All rights reserved.

引用

页码：25 / 33

页数：8

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