Solitons of Some Nonlinear Sigma-Like Models

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Vekslerchik, V.E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211075
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Solitons of Some Nonlinear Sigma-Like Models. V.E. Vekslerchik. SIGMA 16 (2020), 144, 13 pages

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.