INVERSE SCATTERING PROBLEM FOR A SYSTEM OF EQUATIONS DIRAC ON THE WHOLE LINE

<strong>Abstract</strong> In this paper, we study the inverse scattering problem for the Dirac operator on the whole line with real continuous coefficients and , which tend to zero rather quickly as and the Dirac operator with these coefficients considered on the semiaxis has a purely discrete spectrum. For the Dirac operator under consideration, the –function is introduced, its properties are studied, the Gelfand–Levitan–Marchenko integral equation is derived, and the procedure for restoring the coefficients and is given.

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