Abstract
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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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 137, Mathematical Physics, 2017.
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Zhiber, A.V., Yur’eva, A.M. Special Class of Liouville-Type Hyperbolic Equations. J Math Sci 236, 594–602 (2019). https://doi.org/10.1007/s10958-018-4135-z
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DOI: https://doi.org/10.1007/s10958-018-4135-z