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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 52, Number 3, Pages 384–392 (Mi tmf2562)  

This article is cited in 2 scientific papers (total in 2 papers)

Solution of Chew–Low equations in the quadratic approximation

V. P. Gerdt, A. Yu. Zharkov
References:
Abstract: The second-order power contributions are found in the framework of the iterative scheme of construction of the general Chew–Low equation [1] proposed by Gerdt [2]. In contrast to the linear approximation obtained by Gerdt, the quadratic approximation has an infinite number of poles in the complex plane of the uniformizing variable $w$. It is shown that allowance for the quadratic corrections in the general solution makes it possible to distinguish the class of solutions possessing the required Born pole at the point $w=0$. The most cumbersome part of the analytic computations in the present study was done on a computer using the algebraic system REDUCE-2.
Received: 09.07.1981
English version:
Theoretical and Mathematical Physics, 1982, Volume 52, Issue 3, Pages 868–874
DOI: https://doi.org/10.1007/BF01038081
Bibliographic databases:
Language: Russian
Citation: V. P. Gerdt, A. Yu. Zharkov, “Solution of Chew–Low equations in the quadratic approximation”, TMF, 52:3 (1982), 384–392; Theoret. and Math. Phys., 52:3 (1982), 868–874
Citation in format AMSBIB
\Bibitem{GerZha82}
\by V.~P.~Gerdt, A.~Yu.~Zharkov
\paper Solution of Chew--Low equations in the quadratic approximation
\jour TMF
\yr 1982
\vol 52
\issue 3
\pages 384--392
\mathnet{http://mi.mathnet.ru/tmf2562}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=692930}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 52
\issue 3
\pages 868--874
\crossref{https://doi.org/10.1007/BF01038081}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982QL36200005}
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  • https://www.mathnet.ru/eng/tmf2562
  • https://www.mathnet.ru/eng/tmf/v52/i3/p384
  • This publication is cited in the following 2 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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    References:63
    First page:1
     
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