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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 92, Number 3, Pages 374–386 (Mi tmf1509)  
This article is cited in 9 scientific papers (total in 9 papers)

Complete integrability, gauge equivalence and Lax representation of inhomogeneous nonlinear evolution equations

V. S. Gerdjikov

Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences
Full-text PDF (1258 kB) Citations (9)
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Abstract: The gauge equivalence between the inhomogeneous versions of the nonlinear Schrödinger and the Heisenberg ferromagnet equations is studied. An unexplicit criterion for integrability is proposed. Examples of gauge equivalent inhomogeneous nonlinear evolution equations are presented. It is shown that in the nonintegrable cases the $M$-operators in their Lax representations possess unremovable pole singularities lying on the spectrum of the $L$-operators.
Received: 27.07.1992
English version:
Theoretical and Mathematical Physics, 1992, Volume 92, Issue 3, Pages 952–963
DOI: https://doi.org/10.1007/BF01017073
Bibliographic databases:
Language: English
Citation: V. S. Gerdjikov, “Complete integrability, gauge equivalence and Lax representation of inhomogeneous nonlinear evolution equations”, TMF, 92:3 (1992), 374–386; Theoret. and Math. Phys., 92:3 (1992), 952–963
Citation in format AMSBIB
\Bibitem{Ger92}
\by V.~S.~Gerdjikov
\paper Complete integrability, gauge equivalence and Lax representation of inhomogeneous nonlinear evolution equations
\jour TMF
\yr 1992
\vol 92
\issue 3
\pages 374--386
\mathnet{http://mi.mathnet.ru/tmf1509}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1225784}
\zmath{https://zbmath.org/?q=an:0802.35137}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 92
\issue 3
\pages 952--963
\crossref{https://doi.org/10.1007/BF01017073}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992LC29200002}
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  • https://www.mathnet.ru/eng/tmf/v92/i3/p374
    • This publication is cited in the following 9 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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    Abstract page:239
    Full-text PDF :109
    References:36
    First page:1
     
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