Scattering data computation for the Zakharov-Shabat system
This work provides a computational tool for researchers studying nonlinear wave phenomena modeled by the nonlinear Schrödinger equation.
The paper proposes a numerical method for solving the direct scattering problem for the Zakharov-Shabat system, which is associated with the nonlinear Schrödinger equation. Numerical experiments confirm the effectiveness of the technique.
A numerical method to solve the direct scattering problem for the Zakharov-Shabat system associated to the initial value problem for the nonlinear Schroedinger equation is proposed. The method involves the numerical solution of Volterra integral systems with structured kernels and the identification of coefficients and parameters appearing in monomial-exponential sums. Numerical experiments confirm the effectiveness of the proposed technique.