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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 45, Number 2, Pages 161–170 (Mi tmf3872)  
This article is cited in 10 scientific papers (total in 10 papers)

Complete integrability of dynamical systems generated by singular solutions of liouville's equation

A. K. Pogrebkov
Full-text PDF (1182 kB) Citations (10)
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Abstract: Variables of the action-angle type and the hamiltonian are constructed for a dynamical system of $N$ relativistic interacting particles the world lines of which coincide with the singular lines of the equation $\varphi_{tt}-\varphi_{xx}+(m^2/2)\exp\varphi=0$. The construction is performed in the usual one-time parametrization as well as in an arbitrary relativistic parametrization.
Received: 28.12.1979
English version:
Theoretical and Mathematical Physics, 1980, Volume 45, Issue 2, Pages 951–957
DOI: https://doi.org/10.1007/BF01028591
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. K. Pogrebkov, “Complete integrability of dynamical systems generated by singular solutions of liouville's equation”, TMF, 45:2 (1980), 161–170; Theoret. and Math. Phys., 45:2 (1980), 951–957
Citation in format AMSBIB
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\by A.~K.~Pogrebkov
\paper Complete integrability of~dynamical systems generated by~singular solutions of liouville's equation
\jour TMF
\yr 1980
\vol 45
\issue 2
\pages 161--170
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=604518}
\zmath{https://zbmath.org/?q=an:0451.35084}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 45
\issue 2
\pages 951--957
\crossref{https://doi.org/10.1007/BF01028591}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LZ19000002}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :104
    References:46
    First page:2
     
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