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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 62, Number 1, Pages 3–29 (Mi tmf4527)  
This article is cited in 28 scientific papers (total in 30 papers)

Local and nonlocal currents for nonlinear equations

V. S. Vladimirov, I. V. Volovich
Full-text PDF (2274 kB) Citations (30)
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Abstract: A general method is suggested for constructing conserving currents for a wide class of (many-dimensional) nonlinear equations. For nonlinear differential equations which can be presented as conditions of solvability of some over-determined linear system with a parameter (in particular, for the equations integrable by means of the inverse scattering transform method), the procedure of the explicit evaluation of conserving currents is proposed.
Received: 11.07.1984
English version:
Theoretical and Mathematical Physics, 1985, Volume 62, Issue 1, Pages 1–20
DOI: https://doi.org/10.1007/BF01034820
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. S. Vladimirov, I. V. Volovich, “Local and nonlocal currents for nonlinear equations”, TMF, 62:1 (1985), 3–29; Theoret. and Math. Phys., 62:1 (1985), 1–20
Citation in format AMSBIB
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\by V.~S.~Vladimirov, I.~V.~Volovich
\paper Local and nonlocal currents for nonlinear equations
\jour TMF
\yr 1985
\vol 62
\issue 1
\pages 3--29
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=782097}
\zmath{https://zbmath.org/?q=an:0566.35090}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 62
\issue 1
\pages 1--20
\crossref{https://doi.org/10.1007/BF01034820}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985ANK4300001}
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    • This publication is cited in the following 30 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:106
    First page:5
     
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