On a Certain Class of Hyperbolic Equations with Second-Order Integrals

被引：0
|
作者：
Zhiber A.V. [1 ]
Yur’eva A.M. [2 ]
机构：
[1] Institute of Mathematics with Computing Center, Ufa Federal Research Center of the Russian Academy of Sciences, Ufa
[2] Bashkir State University, Ufa
来源：
Journal of Mathematical Sciences | 2021年 / 252卷 / 2期
关键词：
35Q51; 37K60; differential substitutions; Liouville-type equations; x- and y-integrals;
D O I：
10.1007/s10958-020-05151-y
中图分类号：
学科分类号：
摘要：
In this paper, we examine a special class of nonlinear hyperbolic equations possessing a second-order y-integral. We clarify the structure of x-integrals and prove that they are x-integrals of a hyperbolic equation with a first-order y-integral. We also prove that this class contains the well-known Laine equation. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：168 / 174
页数：6
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