Integrable Heisenberg Ferromagnet Equations with self-consistent potentials

Abstract

In this paper, we consider some integrable Heisenberg Ferromagnet Equations with self-consistent potentials. We study their Lax representations. In particular we give their equivalent counterparts which are nonlinear Schrödinger 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.

10 pages, some new results added, typos corrected

References in corpus (3)

• Rogue waves of the Hirota and the Maxwell-Bloch equations
• On the integrable inhomogeneous Myrzakulov I equation
• Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equation

Cited by in corpus (4)

• Integrable (2+1)-Dimensional Spin Models with Self-Consistent Potentials
• Integrable Motion of Curves in Self-Consistent Potentials : Relation to Spin Systems and Soliton Equations
• Soliton Equations with Self-Consistent Sources
• Darboux Transformation and Exact Solutions of the Myrzakulov-Lakshmanan-II Equation