Characteristic Algebras of Nonlinear Hyperbolic Systems of Equations

被引：0

作者：

Zhiber, Anatoliy V. ^{[1
]}

Kostrigina, Olga S. ^{[2
]}

机构：

[1] Russian Acad Sci, Inst Math Comp Ctr, Ufa Sci Ctr, Chernyshevsky 112, Ufa 450077, Russia

[2] Ufa State Aviat Tech Univ, K Marx 12, Ufa 450000, Russia

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2010年 / 3卷 / 02期

关键词：

characteristic algebra; integral; vector field; Riemann tensor;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe all n-component systems of nonlinear hyperbolic equations with a complete set of integrals of the first order and two-component systems of equations with three integrals of the first order and one integral of the second order. Necessary conditions for the existence of two integrals of the first order and two integral of second order for two-component systems of equations are obtained.

引用

页码：173 / 184

页数：12

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