Email this article Special Class of Liouville-Type Hyperbolic Equations
- Authors: Zhiber A.V.1, Yur’eva A.M.2
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Affiliations:
- Institute of Mathematics with Computer Center of Ufa Scientific Center of Russian Academy of Sciences
- Bashkir State University
- Issue: Vol 236, No 6 (2019)
- Pages: 594-602
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242274
- DOI: https://doi.org/10.1007/s10958-018-4135-z
- ID: 242274
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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.
About the authors
A. V. Zhiber
Institute of Mathematics with Computer Center of Ufa Scientific Center of Russian Academy of Sciences
Author for correspondence.
Email: zhiber@mail.ru
Russian Federation, Ufa
A. M. Yur’eva
Bashkir State University
Email: zhiber@mail.ru
Russian Federation, Ufa
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