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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 110, Number 2, Pages 233–241
DOI: https://doi.org/10.4213/tmf964 (Mi tmf964) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Some generalizations of the 2-dimensional Toda chain and $\operatorname{sh}$-Gordon equation

A. I. Zenchuk

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (189 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf964
Abstract: We study the discrete transformations of the solutions and potentials of the second order partial differential equation with two independent variables. These transformations are introduced by the formula $D=V_1\partial_x+V_2\partial_y+V_3$. The simplest closed chains of these transformations are considered. The integrability of the derived nonlinear equations by the IST-method is proved.
Received: 19.06.1996
English version:
Theoretical and Mathematical Physics, 1997, Volume 110, Issue 2, Pages 183–189
DOI: https://doi.org/10.1007/BF02630444
Bibliographic databases:
Language: Russian
Citation: A. I. Zenchuk, “Some generalizations of the 2-dimensional Toda chain and $\operatorname{sh}$-Gordon equation”, TMF, 110:2 (1997), 233–241; Theoret. and Math. Phys., 110:2 (1997), 183–189
Citation in format AMSBIB
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\paper Some generalizations of the 2-dimensional Toda chain and $\operatorname{sh}$-Gordon equation
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 110
\issue 2
\pages 183--189
\crossref{https://doi.org/10.1007/BF02630444}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997XR12900004}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:48
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