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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1997, Volume 4, Number 1/2, Pages 3–45 (Mi jmag444)  
This article is cited in 2 scientific papers (total in 2 papers)

The Cauchy problem for nonlinear Schrödinger equation with bounded initial data

Anne Boutet de Monvela, Vladimir Marchenkob

a Institut de Mathématiques de Paris Jussieu (UMR 9994) Laboratoire de Physique mathématique et Géométrie Université Paris 7-Denis Diderot, case 7012 2 Place Jussieu, F-75251 Paris Cedex 05, France
b Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., 310164, Kharkov, Ukraine
Full-text PDF (5058 kB) Citations (2)
Abstract: An analog of scattering data for the operators which are strong limits of reflectionless Dirac operators is introduced and the corresponding inverse problem is solved. On this basis a method of solving the Cauchy problems for nonlinear Schrödinger equation with initial data from a wide set of nonvanishing at infinity functions is developed.
Received: 15.09.1995
Document Type: Article
Language: English
Citation: Anne Boutet de Monvel, Vladimir Marchenko, “The Cauchy problem for nonlinear Schrödinger equation with bounded initial data”, Mat. Fiz. Anal. Geom., 4:1/2 (1997), 3–45
Citation in format AMSBIB
\Bibitem{BouMar97}
\by Anne~Boutet~de~Monvel, Vladimir~Marchenko
\paper The Cauchy problem for nonlinear Schr\"odinger equation with bounded initial data
\jour Mat. Fiz. Anal. Geom.
\yr 1997
\vol 4
\issue 1/2
\pages 3--45
\mathnet{http://mi.mathnet.ru/jmag444}
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    • This publication is cited in the following 2 articles:
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