Nonlinear Fourier analysis for the infinite-interval Korteweg-de Vries equation. II: Numerical tests of the direct scattering transform

DOI10.1016/0021-9991(91)90224-9zbMath0729.65098OpenAlexW2077221657MaRDI QIDQ806999

Alfred R. Osborne, Antonello Provenzale

Publication date: 1991

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(91)90224-9

zbMATH Keywords

discretizationtruncationKorteweg-de Vries equationrecursive algorithmround-offdirect scattering transformnoise errorsnonlinear filtering of noise

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for discrete and fast Fourier transforms (65T50) Applications to the sciences (65Z05)

Related Items (7)

Potential splitting and numerical solution of the inverse scattering problem on the line ⋮ Automatic algorithm for the numerical inverse scattering transform of the Korteweg-de Vries equation ⋮ Reliable computation of the eigenvalues of the discrete KdV spectrum ⋮ Numerical solutions of the Korteweg-de Vries equation using the periodic scattering transform \(\mu\)-representation ⋮ Computation of the direct scattering transform for the nonlinear Schrödinger equation ⋮ Operator splitting methods for generalized Korteweg-de Vries equations ⋮ Nonlinear Fourier analysis for the infinite-interval Korteweg-de Vries equation. I: An algorithm for the direct scattering transform

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