Darboux Transformation and Exact Solutions of the integrable Heisenberg ferromagnetic equation with self-consistent potentials

G. Nugmanova; K. Yesmakhanova; M. Zhassybayeva; R. Myrzakulov; Z.S. Yersultanova

arxiv: 1404.2270 · v2 · pith:X73U3R7Lnew · submitted 2014-04-08 · 🌊 nlin.SI

Darboux Transformation and Exact Solutions of the integrable Heisenberg ferromagnetic equation with self-consistent potentials

Z.S. Yersultanova , M. Zhassybayeva , K. Yesmakhanova , G. Nugmanova , R. Myrzakulov This is my paper

classification 🌊 nlin.SI

keywords equationintegrableferromagneticheisenbergm-xcixdarbouxtransformationconstructed

0 comments

read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Integrable Motion of Curves, Spin Equation and Camassa-Holm Equation
nlin.SI 2019-07 unverdicted novelty 3.0

Establishes geometrical equivalence between the Camassa-Holm equation and the M-CIV equation via curve motion and demonstrates gauge equivalence between them.