Geodesic
The Cauchy problem for nonlinear Schrödinger equation with bounded initial data
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 1, pp. 3-45 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{JMAG_1997_4_1_a0,
     author = {Anne Boutet de Monvel and Vladimir Marchenko},
     title = {The {Cauchy} problem for nonlinear {Schr\"odinger} equation with bounded initial data},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {3--45},
     year = {1997},
     volume = {4},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a0/}
}
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Anne Boutet de Monvel; Vladimir Marchenko. The Cauchy problem for nonlinear Schrödinger equation with bounded initial data. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 1, pp. 3-45. http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a0/