The Novikov–Veselov equation and the inverse scattering method: II. Computation

DOI10.1088/0951-7715/25/6/1799zbMath1247.65116OpenAlexW2026490033MaRDI QIDQ2895590

Jennifer L. Mueller, Samuli Siltanen, Andreas Stahel, Matti Lassas

Publication date: 3 July 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/25/6/1799

zbMATH Keywords

fast Fourier transformsfinite differencesnonlinear evolution equationintegrable systeminverse scattering methodKorteweg-deVries equationNovikov-Veselov equationCrank-Nicolsonsemi-implicit method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for wavelets (65T60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Nonlinear evolution equations (47J35)

Related Items (5)

Low Regularity Local Well-Posedness for the Zero Energy Novikov–Veselov Equation ⋮ Nonlinear Fourier analysis for discontinuous conductivities: computational results ⋮ The D-bar method for electrical impedance tomography—demystified ⋮ The Novikov-Veselov equation and the inverse scattering method. I: Analysis ⋮ The d-bar formalism for the modified Veselov-Novikov equation on the half-plane

This page was built for publication: The Novikov–Veselov equation and the inverse scattering method: II. Computation