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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 235, Pages 235–244 (Mi znsl3651)  
Integrability and beyond

A. S. Fokas

Department of Mathematics and Computer Science and Institute for Nonlinear Studies, Clarkson University
Full-text PDF (474 kB)
Abstract: An algebraic approach to solving nonlinear functional equations in the Riemann theta functions is stated. By the inverse scattering method and some general methods of the theory of partial differential equations, the solution of the initial boundary value problem for the nonlinear Schrödinger equation is presented. Bibl. 17 titles.
Received: 02.04.1993
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 94, Issue 4, Pages 1593–1599
DOI: https://doi.org/10.1007/BF02365206
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: A. S. Fokas, “Integrability and beyond”, Differential geometry, Lie groups and mechanics. Part 15–2, Zap. Nauchn. Sem. POMI, 235, POMI, St. Petersburg, 1996, 235–244; J. Math. Sci. (New York), 94:4 (1999), 1593–1599
Citation in format AMSBIB
\Bibitem{Fok96}
\by A.~S.~Fokas
\paper Integrability and beyond
\inbook Differential geometry, Lie groups and mechanics. Part~15--2
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 235
\pages 235--244
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3651}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1856099}
\zmath{https://zbmath.org/?q=an:0932.37061}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 94
\issue 4
\pages 1593--1599
\crossref{https://doi.org/10.1007/BF02365206}
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