Title of article
Inverse Scattering Problem for the Impulsive Schr¨odinger Equation with a Polynomial Spectral Dependence in the Potential
Author/Authors
Kh Amiro ، Rauf Kh. Department of Mathematics - Cumhuriyet University , Nabiev ، Anar Adiloglu Department of Engineerings - Suleyman Demirel University
From page
224
To page
242
Abstract
In the present work, under some differentiability conditions on the potential functions , we first reduce the inverse scattering problem (ISP) for the polynomial pencil of the Schr¨odinger equation to the corresponding ISP for the generalized matrix Schr¨odinger equation. Then ISP will be solved in analogy of the Marchenko method. We aim to establish an effective algorithm for uniquely reconstructing of the potential functions of the equation in that case when there is no a discrete spectrum.
Keywords
One dimensional Schr¨odinger equation , scattering data , Jost solution , integral representation , direct problem , inverse scattering problem , main integral equation
Journal title
Caspian Journal of Mathematical Sciences (CJMS)
Journal title
Caspian Journal of Mathematical Sciences (CJMS)
Record number
2722970
Link To Document