Camassa-Holm and Myrzakulov-CIV Equations with Self-Consistent Sources: Geometry and Peakon Solutions

Autor: Tolkynay Myrzakul, Gulgassyl Nugmanova, Ratbay Myrzakulov, Gulmira Yergaliyeva
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Proceedings of the Twenty-First International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Vladimir Pulov and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2020)
Popis: 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.
Databáze: OpenAIRE