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VOL. 21 | 2020 Camassa-Holm and Myrzakulov-CIV Equations with Self-Consistent Sources: Geometry and Peakon Solutions
Gulmira Yergaliyeva, Tolkynay Myrzakul, Gulgassyl Nugmanova, Ratbay Myrzakulov

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

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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