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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 3, Pages 363–376 (Mi tmf5584)  
This article is cited in 7 scientific papers (total in 7 papers)

Boundary-value problems on the half-plane for the Ishimori equation that are compatible with the inverse scattering method

I. T. Habibullin

Bashkir State University
Full-text PDF (1602 kB) Citations (7)
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Abstract: Examples of boundary conditions compatible with the integrability property of the Ishimori equation are found by adjoining a point symmetry of reflection type to Bficklund and Miura transformations. Soliton solutions of the corresponding boundary-value problems on the half- and quarter-plane are constructed. The interaction of the boundary with the solitons is investigated.
Received: 10.01.1992
English version:
Theoretical and Mathematical Physics, 1992, Volume 91, Issue 3, Pages 581–590
DOI: https://doi.org/10.1007/BF01017333
Bibliographic databases:
Language: Russian
Citation: I. T. Habibullin, “Boundary-value problems on the half-plane for the Ishimori equation that are compatible with the inverse scattering method”, TMF, 91:3 (1992), 363–376; Theoret. and Math. Phys., 91:3 (1992), 581–590
Citation in format AMSBIB
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\by I.~T.~Habibullin
\paper Boundary-value problems on the half-plane for the Ishimori equation that are compatible with the inverse scattering method
\jour TMF
\yr 1992
\vol 91
\issue 3
\pages 363--376
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1187016}
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\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 91
\issue 3
\pages 581--590
\crossref{https://doi.org/10.1007/BF01017333}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KL55200002}
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  • https://www.mathnet.ru/eng/tmf/v91/i3/p363
    • This publication is cited in the following 7 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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    Full-text PDF :187
    References:75
    First page:1
     
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