Absence of conductivity-type solitons for the Novikov-Veselov equation at zero energy

DOI10.1007/s10688-013-0008-xzbMath1280.35127OpenAlexW2091192277MaRDI QIDQ372465

A. V. Kazeykina

Publication date: 8 October 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-013-0008-x

zbMATH Keywords

solitonNovikov-Veselov equationpotential of conductivity typetwo-dimensional Schrödinger equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Schrödinger operator, Schrödinger equation (35J10) Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (1)

Absence of solitons with sufficient algebraic localization for the Novikov-Veselov equation at nonzero energy

Cites Work

• Absence of exponentially localized solitons for the Novikov-Veselov equation at positive energy
• Global uniqueness for a two-dimensional inverse boundary value problem
• On a spectral transform of a KDV-like equation related to the Schrodinger operator in the plane
• The Schrodinger operator in the plane
• Mapping Properties of the Nonlinear Fourier Transform in Dimension Two

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