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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 110, Number 1, Pages 61–72
DOI: https://doi.org/10.4213/tmf952 (Mi tmf952) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a method for constructing algebro-geometric solutions to the zero curvature equation

D. P. Novikov, R. K. Romanovskii

Omsk State Technical University
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DOI: https://doi.org/10.4213/tmf952
Abstract: Under special conditions that hold for a number of applications, we suggest a construction that reduces the calculation of algebro-geometric solutions of the zero curvature equation for 2×2 matrices to solving the Jacobi inversion problem on a hyperelliptic Riemann surface and the Riccati equation. An application to the system of equations of the principal chiral field is considered.
Received: 15.01.1996
English version:
Theoretical and Mathematical Physics, 1997, Volume 110, Issue 1, Pages 47–56
DOI: https://doi.org/10.1007/BF02630368
Bibliographic databases:
Language: Russian
Citation: D. P. Novikov, R. K. Romanovskii, “On a method for constructing algebro-geometric solutions to the zero curvature equation”, TMF, 110:1 (1997), 61–72; Theoret. and Math. Phys., 110:1 (1997), 47–56
Citation in format AMSBIB
\Bibitem{NovRom97}
\by D.~P.~Novikov, R.~K.~Romanovskii
\paper On a method for constructing algebro-geometric solutions to the zero curvature equation
\jour TMF
\yr 1997
\vol 110
\issue 1
\pages 61--72
\mathnet{http://mi.mathnet.ru/tmf952}
\crossref{https://doi.org/10.4213/tmf952}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1472015}
\zmath{https://zbmath.org/?q=an:0923.58048}
\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 110
\issue 1
\pages 47--56
\crossref{https://doi.org/10.1007/BF02630368}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997XQ00500004}
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  • https://www.mathnet.ru/eng/tmf952
  • https://doi.org/10.4213/tmf952
  • https://www.mathnet.ru/eng/tmf/v110/i1/p61
    • This publication is cited in the following 1 articles:
    1. D. P. Novikov, “Algebraic-geometric solutions of the Krichever–Novikov equation”, Theoret. and Math. Phys., 121:3 (1999), 1567–1573  mathnet  crossref  crossref  mathscinet  zmath  isi
    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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