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 𝑁-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
Beschreibung
Zusammenfassung:We present a set of differential identities for some class of matrices. These identities are used to derive the 𝑁-soliton solutions for the Pohlmeyer nonlinear sigma-model, two-dimensional self-dual Yang-Mills equations and some modification of the vector Calapso equation.
ISSN:1815-0659