Inverse scattering problem for the Impulsive Schrodinger equation with a polynomial spectral dependence in the potential
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Abstract:
In the present work, under some di¤erentiability conditions on the potential functions , we rst reduce the inverse scattering problem (ISP) for the polynomial pencil of the Scroedinger equation to the corresponding ISP for the generalized matrix Scrödinger equation . Then ISP will be solved in analogy of the Marchenko method. We aim to establish an e¤ective algorithm for uniquely reconstructing of the potential functions of the equation in that case when there is no a discrete spectrum
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Journal title
volume 9 issue 2
pages 224- 242
publication date 2020-09-01
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