Absence of traveling wave solutions of conductivity type for the Novikov-Veselov equations at zero energy

2011/06/28 by Anna Kazeykina, Kazeykina, Anna · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1106.5639

openalex publication_date 2011/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the Novikov-Veselov equation (an analog of KdV in dimension 2 + 1) at zero energy does not have sufficiently localized soliton solutions of conductivity type.

Citations

• Global Uniqueness for a Two-Dimensional Inverse Boundary Value Problem

Cited by

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

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