Special Class of Liouville-Type Hyperbolic Equations


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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.

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A. Zhiber

Institute of Mathematics with Computer Center of Ufa Scientific Center of Russian Academy of Sciences

编辑信件的主要联系方式.
Email: zhiber@mail.ru
俄罗斯联邦, Ufa

A. Yur’eva

Bashkir State University

Email: zhiber@mail.ru
俄罗斯联邦, Ufa

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