An inverse Born approximation for the general nonlinear Schrödinger operator on the line

DOI10.1088/1751-8113/42/33/332002zbMath1192.34017OpenAlexW2044260606MaRDI QIDQ3648875

Valery Serov

Publication date: 1 December 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/42/33/332002

zbMATH Keywords

nonlinear Schrödinger equationinverse scattering probleminverse Born approximation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse problems involving ordinary differential equations (34A55) Nonlinear ordinary differential operators (34L30) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (5)

Inverse scattering for three-dimensional quasi-linear biharmonic operator ⋮ Reconstruction of singularities in two-dimensional quasi-linear biharmonic operator ⋮ Inverse scattering problem for quasi-linear perturbation of the biharmonic operator on the line ⋮ Two-dimensional inverse scattering for quasi-linear biharmonic operator ⋮ Direct and inverse scattering for nonlinear Schrödinger equation in 2D

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