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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… Click to show full 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.

Keywords: class liouville; special class; liouville type

Journal Title: Journal of Mathematical Sciences
Year Published: 2019

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