Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 16 (2020), 144, 13 pages      arXiv:2009.01585      https://doi.org/10.3842/SIGMA.2020.144

Solitons of Some Nonlinear Sigma-Like Models

V.E. Vekslerchik
Usikov Institute for Radiophysics and Electronics, 12 Proskura Str., Kharkiv, 61085, Ukraine

Received September 04, 2020, in final form November 30, 2020; Published online December 25, 2020

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.

Key words: nonlinear sigma-models; vector Calapso equation; self-dual Yang-Mills equations; explicit solutions; solitons.

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