Gauge Equivalence between Two-Dimensional Heisenberg Ferromagnets with Single-Site Anisotropy and Zakharov Equations
R.Myrzakulov
TL;DR
This paper establishes a gauge equivalence between two-dimensional Heisenberg ferromagnets with single-site anisotropy and Zakharov equations, revealing a fundamental connection in their mathematical structure.
Contribution
It demonstrates the gauge equivalence between anisotropic and isotropic two-dimensional Heisenberg ferromagnets and Zakharov equations for the easy axis case.
Findings
Anisotropic CCHF is gauge equivalent to isotropic CCHF.
Gauge equivalence is established for the easy axis case.
Provides a mathematical link between different ferromagnet models.
Abstract
Gauge equivalence between the two-dimensional continuous classical Heisenberg ferromagnets(CCHF) of spin 1/2 - the M-I equation with single site anisotropy and the Zakharov equation(ZE) is established for the easy axis case. The anisotropic CCHF is shown to be gauge equivalent to the isotropic CCHF.
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Taxonomy
TopicsNonlinear Waves and Solitons · Black Holes and Theoretical Physics · Numerical methods for differential equations