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

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.

10 pages, Int. J. Geom. Methods Mod. Phys., (2015)

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• Integrable Motion of Curves in Self-Consistent Potentials : Relation to Spin Systems and Soliton Equations
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Cited by in corpus (2)

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