Distribution-type solutions to the Novikov–Veselov equation

Abstract We construct examples of distribution-type formal solutions to the Novikov–Veselov equation whose regularization is given by the Moutard transformation and which generalize the delta-type solutions derived by R. Novikov and the author.

Authors

Iskander Asanovich Taimanov (ORCID: https://orcid.org/0000-0002-2779-183X)

Institutions

Lomonosov Moscow State University (RU)

Publication Details

Journal: Journal of Inverse and Ill-Posed Problems
Published: 2026-10-26
DOI: https://doi.org/10.1515/jiip-2026-0141
Primary Topic: Nonlinear Waves and Solitons
Type: article
Field-Weighted Citation Impact: 0.00

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article

Distribution-type solutions to the Novikov–Veselov equation

Iskander Asanovich Taimanov

Oct 26, 2026

Journal of Inverse and Ill-Posed Problems

Nonlinear Waves and Solitons

article

Distribution-type solutions to the Novikov–Veselov equation

Iskander Asanovich Taimanov

October 26, 2026article en

Abstract

Journal of Inverse and Ill-Posed Problems

Lomonosov Moscow State University (RU)

Openalex Percentile: Top 14%

Nonlinear Waves and Solitons

DOI Open Access PDF OpenAlex

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Distribution-type solutions to the Novikov–Veselov equation — Iskander Asanovich Taimanov · Journal of Inverse and Ill-Posed Problems (2026) | TGRS Research Map | TGRS