A large-time asymptotics for the solution of the Cauchy problem for the Novikov–Veselov equation at negative energy with non-singular scattering data

DOI10.1088/0266-5611/28/5/055017zbMath1238.35134arXiv1107.1150OpenAlexW2001638381MaRDI QIDQ2888768

Publication date: 4 June 2012

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1150

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse scattering problems in quantum theory (81U40) PDEs in connection with quantum mechanics (35Q40)

Related Items (8)

Global Solutions for the zero-energy Novikov–Veselov equation by inverse scattering ⋮ Moutard transform approach to generalized analytic functions with contour poles ⋮ Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation ⋮ Absence of solitons with sufficient algebraic localization for the Novikov-Veselov equation at nonzero energy ⋮ Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. II. ⋮ IST Versus PDE: A Comparative Study ⋮ Numerical study of blow-up and stability of line solitons for the Novikov–Veselov equation ⋮ Well-posedness and ill-posedness results for the Novikov-Veselov equation

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