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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 1(2), Pages 46–49
DOI: https://doi.org/10.18500/1816-9791-2013-13-1-2-46-49 (Mi isu371) 		 
Mathematics

On Solutions of Some Boundary Value Problems for General KdV Equation

M. Yu. Ignatyev

Saratov State University
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DOI: https://doi.org/10.18500/1816-9791-2013-13-1-2-46-49
Abstract: This paper deals with the general equation of Korteweg-de Vries (KdV) hierarchy. A boundary-value problem with certain inhomogeneous boundary conditions is studied. We construct the wide class of solutions of the problem using the inverse spectral method.
Key words: KdV hierarchy, boundary–value problems, integrability, inverse spectral method.
Bibliographic databases:
Document Type: Article
UDC: 517.95, 517.984
Language: Russian
Citation: M. Yu. Ignatyev, “On Solutions of Some Boundary Value Problems for General KdV Equation”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013), 46–49
Citation in format AMSBIB
\Bibitem{Ign13}
\by M.~Yu.~Ignatyev
\paper On Solutions of Some Boundary Value Problems for General KdV Equation
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 1(2)
\pages 46--49
\mathnet{http://mi.mathnet.ru/isu371}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-1-2-46-49}
\elib{https://elibrary.ru/item.asp?id=21976872}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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