A method for solving the inverse scattering problem on the line is proposed. It is based on a Fourier-Laguerre series representation of the integral transmutation kernel. Substitution of the representation into the Gel'fand-Levitan-Marchenko equation leads to a linear algebraic system of equations and consequently to a simple algorithm for recovering the potential.

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Volume42, Issue4

15 March 2019

Pages 1321-1327

On a method for solving the inverse scattering problem on the line

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On a method for solving the inverse scattering problem on the line

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