Inverse scattering on the line for a generalized nonlinear Schroedinger equation

Details Inverse scattering on the line for a generalized nonlinear Schroedinger equation Inverse scattering on the line for a generalized nonlinear Schroedinger equation

2004-02-10

arxiv.org/abs/math-ph/0402020v1

Inverse Problems vol 20 (2004) 1267-1280

Physics

Mathematical Physics

20 pages

Scientific paper

10.1088/0266-5611/20/4/015

A one-dimensional generalized nonlinear Schroedinger equation is considered,
and the corresponding inverse scattering problem is analyzed when the potential
is compactly supported and depends on the wave function. The unique recovery of
the potential is established from an appropriate set of scattering data.

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