Integrable Heisenberg Ferromagnet Equations with Self-Consistent Potentials

In this paper, we consider some integrable Heisenberg Ferromagnet Equations with self-consistent potentials. We study their Lax representations. In particular we derive their equivalent counterparts in the form of nonlinear Schr¨odinger type equations. We present the integrable reductions of the Heisenberg Ferromagnet Equations with self-consistent potentials. These integrable Heisenberg Ferromagnet Equations with self-consistent potentials describe nonlinear waves in ferromagnets with some additional physical fields.

Authors:

• Gulgassyl Nugmanova
• Zhanat Zhunussova
• Kuralay Yesmakhanova
• Galya Mamyrbekova
• Ratbay Myrzakulov

Keywords:

• Spin systems
• equivalent counterparts
• integrable reductions
• self-consistent potentials.

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