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Time-dependent method for non-linear Schrödinger equations in inverse scattering problems.
- Source :
-
Journal of Mathematical Analysis & Applications . Mar2018, Vol. 459 Issue 2, p932-944. 13p. - Publication Year :
- 2018
-
Abstract
- We consider an inverse scattering problem for a non-linear Schrödinger equation with a non-linearity of power-type. Applying the time-dependent technique, developed by Enss and Weder, we prove that the non-linearity is uniquely determined from a scattering data defined via the scattering operator. We also obtain a reconstruction formula which is valid for large scattering data. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 459
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 126575172
- Full Text :
- https://doi.org/10.1016/j.jmaa.2017.11.012