Darboux Transformation and Exact Solutions of the integrable Heisenberg ferromagnetic equation with self-consistent potentials
Exactly Solvable and Integrable Systems
2015-10-20 v2
Abstract
Integrable Heisenberg ferromagnetic equations are an important subclass of integrable systems. The M-XCIX equation is one of a generalizations of the Heisenberg ferromagnetic equation and are integrable. In this paper, the Darboux transformation of the M-XCIX equation is constructed. Using the DT, a 1-soliton solution of the M-XCIX equation is presented.
Keywords
Cite
@article{arxiv.1404.2270,
title = {Darboux Transformation and Exact Solutions of the integrable Heisenberg ferromagnetic equation with self-consistent potentials},
author = {Z. S. Yersultanova and M. Zhassybayeva and K. Yesmakhanova and G. Nugmanova and R. Myrzakulov},
journal= {arXiv preprint arXiv:1404.2270},
year = {2015}
}
Comments
10 pages, Int. J. Geom. Methods Mod. Phys., (2015)