Solution of symmetry equation and hierarchy of self dual Yang-Mills systems

TL;DR

This paper derives explicit solutions for the symmetry equations of the self dual Yang-Mills system, leading to the construction of a hierarchy of such equations using a Hamiltonian operator.

Contribution

It introduces an explicit form of the raising Hamiltonian operator and constructs the self dual Yang-Mills hierarchy.

Findings

Explicit solution of the symmetry equation obtained.

Hierarchy of self dual Yang-Mills equations constructed.

Provides a new Hamiltonian operator form.

Abstract

The solution of symmetry equation of Yang-Mills self dual system is found in explicit form of its raising Hamiltonian operator. Thus explicit form of equations of self dual Yang Mills hierarchy is constructed.