Strong necessary conditions and Cauchy problem

TL;DR

This paper explores solutions to boundary and initial value problems for Bogomolny equations using strong necessary conditions, and investigates Hamiltonian degeneracy in the restricted baby Skyrme model.

Contribution

It introduces a method for solving boundary and initial conditions for Bogomolny equations and identifies Hamiltonian degeneracy in a specific Skyrme model.

Findings

Exact solutions for boundary and initial conditions of Bogomolny equations

Identification of Hamiltonian degeneracy in the restricted baby Skyrme model

Solutions linked to ordinary and partial differential equations

Abstract

Some exact solutions of boundary or initial conditions formulated for Bogomolny equations (derived by using the strong necessary conditions and associated with some ordinary equation and some partial differential equations), have been found. Besides, a degeneracy of the hamiltonian for the restricted baby Skyrme model has been established.