Darboux transformation and exact solutions of the integrable Heisenberg ferromagnetic equation with self-consistent potentials-Reference-Cited by-同舟云学术

Darboux transformation and exact solutions of the integrable Heisenberg ferromagnetic equation with self-consistent potentials

Published:2016-01 Issue:01 Volume:13 Page:1550134
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Yersultanova Z. S.¹,Zhassybayeva M.¹,Yesmakhanova K.¹,Nugmanova G.¹,Myrzakulov R.¹

Affiliation:

1. Eurasian International Center for Theoretical Physics, Department of General and Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887815501340

Reference30 articles.

1. Darboux Transformation Method for Finding Soliton Solutions of the Landau-Lifschitz Equation of a Classical Heisenberg Spin Chain

2. The Darboux Transformation for NLS-MB Equations

3. Quasideterminant solutions of the generalized Heisenberg magnet model

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