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On a method for solving the inverse scattering problem on the line |
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| Authors: | Vladislav V Kravchenko |
| Abstract: | 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. |
| Keywords: | Gel'fand‐Levitan‐Marchenko equation inverse scattering problem Sturm‐Liouville theory transmutation operator |