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

2012/01/13 by Anna Kazeykina, Kazeykina, Anna
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1201.2758

openalex publication_date 2012/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the Novikov--Veselov equation (an analog of KdV in dimension 2 +\n1) at positive and negative energies does not have solitons with the space\nlocalization stronger than O(|x|^-3) as |x| \→ \∞.\n

Citations

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

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