The gauge equivalence of the Zakharov equations and (2+1)-dimensional continuous Heisenberg ferromagnetic models

TL;DR

This paper establishes a gauge equivalence between the (2+1)-dimensional Zakharov equations and the (2+1)-dimensional continuous Heisenberg ferromagnetic model, including their integrable reductions.

Contribution

It demonstrates the gauge equivalence and explicitly shows the integrable reductions of these two models.

Findings

Gauge equivalence between the models established

Integrable reductions explicitly shown

Enhances understanding of (2+1)-dimensional integrable systems

Abstract

The gauge equivalence between the (2+1)-dimensional Zakharov equations and (2+1)-dimensional integrable continuous Heisenberg ferromagnetic model is established. Also their integrable reductions are shown explicitly.