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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 105, Number 3, Pages 371–382 (Mi tmf1381)  
This article is cited in 5 scientific papers (total in 5 papers)

The dual $\overline \partial$-problem, $(2+1)$-dimensional nonlinear evolution equations and their reductions

A. I. Zenchuk, S. V. Manakov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (980 kB) Citations (5)
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Abstract: The dual $\overline \partial$-problem with arbitrary normalization is used for compact description of integrable nonlinear PDE's with singular dispersion relations in $(2+1)$-dimensions. Various symmetry reductions and corresponding Lax representations for them are found. The singular KP-hierarchy and Schrödinger equation with magnetyic field are considered as the examples.
Received: 09.02.1995
English version:
Theoretical and Mathematical Physics, 1995, Volume 105, Issue 3, Pages 1490–1499
DOI: https://doi.org/10.1007/BF02070869
Bibliographic databases:
Language: Russian
Citation: A. I. Zenchuk, S. V. Manakov, “The dual $\overline \partial$-problem, $(2+1)$-dimensional nonlinear evolution equations and their reductions”, TMF, 105:3 (1995), 371–382; Theoret. and Math. Phys., 105:3 (1995), 1490–1499
Citation in format AMSBIB
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\by A.~I.~Zenchuk, S.~V.~Manakov
\paper The dual $\overline \partial$-problem, $(2+1)$-dimensional nonlinear evolution equations and their reductions
\jour TMF
\yr 1995
\vol 105
\issue 3
\pages 371--382
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1605623}
\zmath{https://zbmath.org/?q=an:0888.35100}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 105
\issue 3
\pages 1490--1499
\crossref{https://doi.org/10.1007/BF02070869}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995VD44600003}
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  • https://www.mathnet.ru/eng/tmf/v105/i3/p371
    • This publication is cited in the following 5 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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