Dispersionless integrable systems and the Bogomolny equations on an Einstein-Weyl geometry background

Autor:	Bogdanov, L. V.
Rok vydání:	2020
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems General Relativity and Quantum Cosmology Mathematical Physics 37K10 37K15 37K25 35Q75
Zdroj:	Theoretical and Mathematical Physics 205, 1279-1290 (2020)
Druh dokumentu:	Working Paper
DOI:	10.1134/S0040577920100037
Popis:	We derive a dispersionless integrable system describing a local form of a general three-dimensional Einstein-Weyl geometry with an Euclidean (positive) signature, construct its matrix extension and demonstrate that it leads to the Bogomolny equations for a non-abelian monopole on an Einstein-Weyl geometry background. The corresponding dispersionless integrable hierarchy, its matrix extension and the dressing scheme are also considered. Comment: 15 pages, to be published in Teor. i Mat. Fiz. (a Russian version)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.09906 Zobrazit plný text záznamu View this record from Arxiv