Partial recovery of potentials in generalized nonlinear Schroedinger equations on the line
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, Oulu 90014 (Finland)
The inverse Born approximation method is applied to inverse scattering problems for two one-dimensional nonlinear Schroedinger equations. We prove that all jumps and singularities of the unknown function are recovered from the Born function sequence. In particular, one can locate any bounded interval on the line. The result is based on the accurate determination of the first nonlinear term of the Born sequence.
- OSTI ID:
- 21013602
- Journal Information:
- Journal of Mathematical Physics, Vol. 48, Issue 8; Other Information: DOI: 10.1063/1.2771419; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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