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Article Dans Une Revue Physica D: Nonlinear Phenomena Année : 2019

Spectral approach to the scattering map for the semi-classical defocusing Davey–Stewartson II equation

Résumé

The inverse scattering approach for the defocusing Davey–Stewartson II equation is given by a system of D-bar equations. We present a numerical approach to semi-classical D-bar problems for real analytic rapidly decreasing potentials. We treat the D-bar problem as a complex linear second order integral equation which is solved with discrete Fourier transforms complemented by a regularization of the singular parts by explicit analytic computation. The resulting algebraic equation is solved either by fixed point iterations or GMRES. Several examples for small values of the semi-classical parameter in the system are discussed.
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hal-02353053 , version 1 (20-07-2022)

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Paternité - Pas d'utilisation commerciale

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Christian Klein, Ken Mclaughlin, Nikola Stoilov. Spectral approach to the scattering map for the semi-classical defocusing Davey–Stewartson II equation. Physica D: Nonlinear Phenomena, 2019, 400, pp.132126. ⟨10.1016/j.physd.2019.05.006⟩. ⟨hal-02353053⟩
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