PRELIMINARY GROUP CLASSIFICATION OF EQUATIONS VTT=F(X,VX)VXX+G(X,VX)

被引：127

作者：

IBRAGIMOV, NH ^{[1
]}

TORRISI, M ^{[1
]}

VALENTI, A ^{[1
]}

机构：

[1] ACAD SCI USSR,CTR MATH MODELLING,MOSCOW 125047,USSR

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 11期

关键词：

D O I：

10.1063/1.529042

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A classification is given of equations upsilon-tt = f(upsilon,upsilon-x)upsilon-xx + g(x,upsilon-x) admitting an extension by one of the principal Lie algebra of the equation under consideration. The paper is one of few applications of a new algebraic approach to the problem of group classification: the method of preliminary group classification. The result of the work is a wide class of equations summarized in Table II.

引用

页码：2988 / 2995

页数：8

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