Special Class of Liouville-Type Hyperbolic Equations

被引：0
|
作者：
Zhiber A.V. [1 ]
Yur’eva A.M. [2 ]
机构：
[1] Institute of Mathematics with Computer Center of Ufa Scientific Center of Russian Academy of Sciences, Ufa
[2] Bashkir State University, Ufa
来源：
Journal of Mathematical Sciences | 2019年 / 236卷 / 6期
关键词：
35Q51; 37K60; differential substitution; Liouville-type equation; x-integral; y-integral;
D O I：
10.1007/s10958-018-4135-z
中图分类号：
学科分类号：
摘要：
In this paper, we obtain differential substitutions for a special class of Liouville-type equations that simplify these equations. We present necessary and sufficient conditions of the existence of y-integrals of the second order. We examine the principal case of necessary and sufficient conditions of the existence of y-integrals. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：594 / 602
页数：8
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