On Hyperbolic Systems of Equations with Zero Generalized Laplace Invariants

被引:1
作者
Mikhailova, Yu. G. [1 ]
Zhiber, A. V. [2 ]
机构
[1] Ufa State Aviat Tech Univ, Ufa 450000, Russia
[2] Inst Math Comp Ctr, Ufa 450077, Russia
基金
俄罗斯基础研究基金会;
关键词
General Solution; STEKLOV Institute; Arbitrary Function; Hyperbolic System; Laplace Transformation;
D O I
10.1134/S0081543808050143
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A criterion for the interruption of the sequence of generalized Laplace invariants is found. A general solution of a system of linear hyperbolic equations with zero invariants is constructed.
引用
收藏
页码:S154 / S164
页数:11
相关论文
共 6 条
[1]  
Goursat E., 1896, LECON INTEGRATION EQ
[2]  
Gur'eva A. M., 2004, TEOR MAT FIZ, V138, P401
[3]  
Leznov A. N., 1982, INTEGRABLE SYSTEMS, P34
[4]  
LEZNOV AN, 1982, TEOR MAT FIZ, V51, P10
[5]  
Zhiber A. V., 2003, MATH NOTES, V74, P848
[6]   Exactly integrable hyperbolic equations of Liouville type [J].
Zhiber, AV ;
Sokolov, VV .
RUSSIAN MATHEMATICAL SURVEYS, 2001, 56 (01) :61-101