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- Title
Scattering data computation for the Zakharov-Shabat system.
- Authors
Fermo, L.; Mee, C.; Seatzu, S.
- Abstract
A numerical method to compute the scattering data for the Zakharov-Shabat system associated to the initial value problem for the nonlinear Schrödinger equation is proposed. The method involves the numerical solution of Volterra integral systems with structured kernels, of structured integral equations in unbounded domains and the identification of coefficients and parameters appearing in monomial-exponential sums. Numerical experiments confirm the effectiveness of the proposed technique.
- Subjects
SCATTERING (Mathematics); INITIAL value problems; NONLINEAR equations; NUMERICAL solutions to Voterra equations; INTEGRAL equations; INVERSE scattering transform
- Publication
Calcolo, 2016, Vol 53, Issue 3, p487
- ISSN
0008-0624
- Publication type
Article
- DOI
10.1007/s10092-015-0159-7