Geodesic
Darboux transformations in the inverse scattering problem
Ufa mathematical journal, Tome 8 (2016) no. 4, pp. 42-51 Cet article a éte moissonné depuis la source Math-Net.Ru

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As it is know, Darboux transformations play a key role in applications in ISP. In the paper we expose the theory of such transformations for the Schrödinger equations with compactly supported potential, which are not necessarily smooth. We study a new class of transformations connected with the zeroes of the reflection coefficient located at conjugated points in the complex plane.
Keywords: Inverse Problem, Schrödinger equation, compactly supported potentials
Mots-clés : Darboux transformation. 
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M. Sh. Badakhov; A. B. Shabat. Darboux transformations in the inverse scattering problem. Ufa mathematical journal, Tome 8 (2016) no. 4, pp. 42-51. http://geodesic.mathdoc.fr/item/UFA_2016_8_4_a2/

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