THE INVERSE SCATTERING PROBLEM FOR A DISCRETE DIRAC OPERATOR ON THE ENTIRE LINE

Authors

  • A.Kh. Khanmamedov
  • R.I. Aleskerov

Keywords:

discrete Dirac operator, scattering problem , transformation operators, inverse problem, main equations

Abstract

A discrete analogue of the one-dimensional Dirac system on the whole line is considered. The coefficients of the system are steplike. Using the transformation operators special solutions with asymptotic behavior at infinity are constructed. The inverse scattering problem is studied. We derive a necessary and a sufficient condition on the scattering data so that the inverse problem is uniquely solvable.

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Published

2024-02-20

Issue

Vol. 74 No. 1 (2018)

Section

Articles