The Novikov-Veselov equation and the inverse scattering method. I: Analysis
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Publication:453127
DOI10.1016/j.physd.2012.04.010zbMath1248.35187arXiv1105.3903OpenAlexW2085258493MaRDI QIDQ453127
Matti Lassas, Samuli Siltanen, Jennifer L. Mueller, Andreas Stahel
Publication date: 18 September 2012
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.3903
KdV equationnonlinear evolution equationinverse scattering methodnonlinear Fourier transformNovikov-Veselov equation\(D\)-bar method
KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory, inverse scattering involving ordinary differential operators (34L25)
Related Items
Low Regularity Local Well-Posedness for the Zero Energy Novikov–Veselov Equation, Global Solutions for the zero-energy Novikov–Veselov equation by inverse scattering, Nonlinear Fourier analysis for discontinuous conductivities: computational results, Stability Analysis of Solitary Wave Solutions for Coupled and (2+1)-Dimensional Cubic Klein-Gordon Equations and Their Applications, The D-bar method for electrical impedance tomography—demystified, The d-bar formalism for the modified Veselov-Novikov equation on the half-plane, The nonlinear Fourier transform for two-dimensional subcritical potentials, Well-posedness and ill-posedness results for the Novikov-Veselov equation
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