A Large Time Asymptotics for Transparent Potentials for the Novikov–Veselov Equation at Positive Energy

DOI10.1142/S1402925111001660zbMath1228.35203arXiv1010.2897OpenAlexW2034226019MaRDI QIDQ3095756

A. V. Kazeykina, Roman G. Novikov

Publication date: 3 November 2011

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2897

zbMATH Keywords

large time asymptoticsNovikov-Veselov equationKdV in \(2+1\) dimensionstransparent potentials

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (5)

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. ⋮ Large time asymptotics for the Grinevich-Zakharov potentials ⋮ Numerical study of blow-up and stability of line solitons for the Novikov–Veselov equation

Cites Work

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• The inverse scattering problem on a fixed energy level for two- dimensional Schrödinger operator
• Asymptotics for large time of global solutions to the generalized Kadomtsev-Petviashvili equation
• Transparent potentials at fixed energy in dimension two. Fixed-energy dispersion relations for the fast decaying potentials
• Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity
• The Korteweg-de Vries equation and water waves. Solutions of the equation. Part 1

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