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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 144, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.144 (Mi sigma1680) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Solitons of Some Nonlinear Sigma-Like Models

V. E. Vekslerchik

Usikov Institute for Radiophysics and Electronics, 12 Proskura Str., Kharkiv, 61085, Ukraine
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DOI: https://doi.org/10.3842/SIGMA.2020.144
Abstract: 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.
Keywords: nonlinear sigma-models, vector Calapso equation, self-dual Yang–Mills equations, explicit solutions, solitons.
Received: September 4, 2020; in final form November 30, 2020; Published online December 25, 2020
Bibliographic databases:
Document Type: Article
MSC: 37J35, 11C20, 35C08, 15B05
Language: English
Citation: V. E. Vekslerchik, “Solitons of Some Nonlinear Sigma-Like Models”, SIGMA, 16 (2020), 144, 13 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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