New example of a nonlinear hyperbolic equation possessing integrals

被引:0
作者
A. V. Zhiber
V. V. Sokolov
机构
[1] Ufa Science Center,Institute for Mechanics
[2] RAS,undefined
[3] Landau Institute for Theoretical Physics,undefined
[4] RAS,undefined
来源
Theoretical and Mathematical Physics | 1999年 / 120卷
关键词
Arbitrary Function; Point Change; Full Derivative; Integrable Nonlinear Equation; Liouville Type;
D O I
暂无
中图分类号
学科分类号
摘要
We discover an important new case in the classical problem of the classification of nonlinear hyperbolic equations possessing integrals. In the general (least degenerate) case, in addition, we obtain a formula describing the splitting of the right-hand side of such equations with respect to the first derivatives.
引用
收藏
页码:834 / 839
页数:5
相关论文
共 7 条
[1]  
Vessiot E.(1939)undefined J. Math. Pure Appl. 18 1-61
[2]  
Zhiber A. V.(1995)undefined Russ. Acad. Sci. Izv. Math. 45 33-54
[3]  
Zvyagin M. Yu.(1991)undefined Sov. Math. Dokl. 43 30-34
[4]  
Borisov A. B.(1998)undefined Theor. Math. Phys. 115 530-541
[5]  
Zykov S. A.(1984)undefined Sov. Math. Dokl. 30 23-26
[6]  
Zhiber A. V.(undefined)undefined undefined undefined undefined-undefined
[7]  
Shabat A. B.(undefined)undefined undefined undefined undefined-undefined