Solitons of Some Nonlinear Sigma-Like Models

We present a set of differential identities for some class of matrices. These identities are used to derive the -soliton solutions for the Pohlmeyer nonlinear sigma-model, two-dimensional self-dual Yang-Mills equations and some modification of the vector Calapso equation.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2020
1. Verfasser: Vekslerchik, V.E.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2020
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/211075
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Solitons of Some Nonlinear Sigma-Like Models. V.E. Vekslerchik. SIGMA 16 (2020), 144, 13 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Vekslerchik, V.E.
author_facet Vekslerchik, V.E.
citation_txt Solitons of Some Nonlinear Sigma-Like Models. V.E. Vekslerchik. SIGMA 16 (2020), 144, 13 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We present a set of differential identities for some class of matrices. These identities are used to derive the -soliton solutions for the Pohlmeyer nonlinear sigma-model, two-dimensional self-dual Yang-Mills equations and some modification of the vector Calapso equation.
first_indexed 2026-03-13T16:00:53Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2026-03-13T16:00:53Z
publishDate 2020
publisher Інститут математики НАН України
record_format dspace
spelling Vekslerchik, V.E.
2025-12-23T13:10:57Z
2020
Solitons of Some Nonlinear Sigma-Like Models. V.E. Vekslerchik. SIGMA 16 (2020), 144, 13 pages
1815-0659
2020 Mathematics Subject Classification: 37J35; 11C20; 35C08; 15B05
arXiv:2009.01585
https://nasplib.isofts.kiev.ua/handle/123456789/211075
https://doi.org/10.3842/SIGMA.2020.144
We present a set of differential identities for some class of matrices. These identities are used to derive the -soliton solutions for the Pohlmeyer nonlinear sigma-model, two-dimensional self-dual Yang-Mills equations and some modification of the vector Calapso equation.
We would like to thank the referees for the constructive comments and suggestions for the improvement of this paper.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Solitons of Some Nonlinear Sigma-Like Models
Article
published earlier
spellingShingle Solitons of Some Nonlinear Sigma-Like Models
Vekslerchik, V.E.
title Solitons of Some Nonlinear Sigma-Like Models
title_full Solitons of Some Nonlinear Sigma-Like Models
title_fullStr Solitons of Some Nonlinear Sigma-Like Models
title_full_unstemmed Solitons of Some Nonlinear Sigma-Like Models
title_short Solitons of Some Nonlinear Sigma-Like Models
title_sort solitons of some nonlinear sigma-like models
url https://nasplib.isofts.kiev.ua/handle/123456789/211075
work_keys_str_mv AT vekslerchikve solitonsofsomenonlinearsigmalikemodels