Anne Boutet de Monvel, Vladimir Marchenko, “The Cauchy problem for nonlinear Schrödinger equation with bounded initial data”, Mat. Fiz. Anal. Geom., 1997, Volume 4, Number 1/2,Pages <nobr>3

This article is cited in 2 papers

The Cauchy problem for nonlinear Schrödinger equation with bounded initial data

Anne Boutet de Monvel^a, Vladimir Marchenko^b

^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

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

Language: English