Reduction of static field equation of Faddeev model

TL;DR

This paper introduces a method to solve the static field equations of the Faddeev model by reducing them to first-order partial differential equations using a special field combination and arbitrary complex functions.

Contribution

It presents a novel approach to simplify the static Faddeev model equations through a specific field combination and arbitrary functions, enabling easier solutions.

Findings

Reduced static Faddeev equations to first-order PDEs

Identified a compatible field form involving two complex functions

Provided a new framework for solving the Faddeev model equations

Abstract

A method to solve the static field equation of the Faddeev model is presented. For an special combination of the concerned field, we adopt a form which is compatible with the field equation and involves two arbitrary complex functions. As a result, the static field equation is reduced to a set of first order partial differential equations.