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- Title
On a method for solving the inverse scattering problem on the line.
- Authors
Kravchenko, Vladislav V.
- 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.
- Subjects
INVERSE scattering transform; KERNEL (Mathematics); MARCHENKO equation; FOURIER series; LAGUERRE geometry; LINEAR algebraic groups
- Publication
Mathematical Methods in the Applied Sciences, 2019, Vol 42, Issue 4, p1321
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.5445