VOL. 21 | 2020 Camassa-Holm and Myrzakulov-CIV Equations with Self-Consistent Sources: Geometry and Peakon Solutions
Chapter Author(s) Gulmira Yergaliyeva, Tolkynay Myrzakul, Gulgassyl Nugmanova, Ratbay Myrzakulov
Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka
Geom. Integrability & Quantization, 2020: 310-319 (2020) DOI: 10.7546/giq-21-2020-310-319

Abstract

In this paper, we study one of generalized Heisenberg ferromagnet equations with self-consistent sources, namely, the so-called Myrzakulov-CIV equation with self-consistent sources (M-CIVESCS). The Lax representation of the M-CIVESCS is presented. We have shown that the M-CIVESCS and the CH equation with self-consistent sources (CHESCS) is geometrically equivalent to each other. The gauge equivalence between these equations is proved. Soliton (peakon) and pseudo-spherical surfaces induced by these equations are considered. The one peakon solution of the M-CIVESCS is presented.

Information

Published: 1 January 2020
First available in Project Euclid: 14 October 2020

Digital Object Identifier: 10.7546/giq-21-2020-310-319

Rights: Copyright © 2020 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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