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The inverse scattering problem for Schrödinger and Klein-Gordon equations with a nonlocal nonlinearity

Authors :
Sasaki, Hironobu
Source :
Hokkaido University Preprint Series in Mathematics. 772:1-13
Publication Year :
2006
Publisher :
Department of Mathematics, Hokkaido University, 2006.

Abstract

We study the inverse scattering problem for the nonlinear Schr\"odinger equation and for the nonlinear Klein-Gordon equation with the generalized Hartree type nonlinearity. We reconstruct the nonlinearity from knowledge of the scattering operator, which improves the known results.

Details

Language :
English
Volume :
772
Database :
OpenAIRE
Journal :
Hokkaido University Preprint Series in Mathematics
Accession number :
edsair.jairo.........93e9e0a908d6c91b46d162414d362ca0