Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 152, Pages 46–52 (Mi into350)  
This article is cited in 1 scientific paper (total in 1 paper)

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

A. V. Zhibera, A. M. Yur'evab

a Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
b Bashkir State University, Ufa
Full-text PDF (148 kB) Citations (1)
References:
PDF
HTML
Abstract: 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.
Keywords: Liouville-type equations, differential substitutions, $x$- and $y$-integrals.
Funding agency Grant number
Russian Science Foundation 15-11-20007
This work was partially supported by the Russian Science Foundation (project No. 15-11-20007).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 252, Issue 2, Pages 168–174
DOI: https://doi.org/10.1007/s10958-020-05151-y
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35Q51, 37K60
Language: Russian
Citation: A. V. Zhiber, A. M. Yur'eva, “On a Certain Class of Hyperbolic Equations with Second-order Integrals”, Mathematical physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 152, VINITI, Moscow, 2018, 46–52; J. Math. Sci. (N. Y.), 252:2 (2021), 168–174
Citation in format AMSBIB
\Bibitem{ZhiYur18}
\by A.~V.~Zhiber, A.~M.~Yur'eva
\paper On a Certain Class of Hyperbolic Equations with Second-order Integrals
\inbook Mathematical physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 152
\pages 46--52
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into350}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3903377}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 252
\issue 2
\pages 168--174
\crossref{https://doi.org/10.1007/s10958-020-05151-y}
Linking options:
  • https://www.mathnet.ru/eng/into350
  • https://www.mathnet.ru/eng/into/v152/p46
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
    Statistics & downloads:
    Abstract page:178
    Full-text PDF :64
    References:16
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024