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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 119, Number 3, Pages 397–404
DOI: https://doi.org/10.4213/tmf747
(Mi tmf747)
 

This article is cited in 14 scientific papers (total in 14 papers)

KdV equation on a half-line with the zero boundary condition

I. T. Habibullin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
References:
Abstract: We solve the mixed problem for the KdV equation with the boundary condition $u|_{x=0}=0$, $u_{xx}|_{x=0}=0$ using the inverse scattering method. The time evolution of the scattering matrix is efficiently defined from the consistency condition for the spectra of two differential operators giving the $L$$A$ pair.
Received: 29.10.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 119, Issue 3, Pages 712–718
DOI: https://doi.org/10.1007/BF02557381
Bibliographic databases:
Language: Russian
Citation: I. T. Habibullin, “KdV equation on a half-line with the zero boundary condition”, TMF, 119:3 (1999), 397–404; Theoret. and Math. Phys., 119:3 (1999), 712–718
Citation in format AMSBIB
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\paper KdV equation on a half-line with the zero boundary condition
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\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 119
\issue 3
\pages 712--718
\crossref{https://doi.org/10.1007/BF02557381}
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  • https://www.mathnet.ru/eng/tmf747
  • https://doi.org/10.4213/tmf747
  • https://www.mathnet.ru/eng/tmf/v119/i3/p397
  • This publication is cited in the following 14 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 :256
    References:81
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