Solitons emerge in various non-linear systems as stable localized configurations, behaving
in many ways like particles, from non-linear optics and condensed matter to nuclear physics …

The Skyrme model is a low-energy effective field theory for QCD, where the baryons emerge
as soliton solutions. It is, however, not so easy within the standard Skyrme model to …

Within the class of field theories with the field content of the Skyrme model, one submodel
can be found which consists of the square of the baryon current and a potential term only …

The magnetic skyrmion is described by one control parameter and one length scale. We
study the two extreme limits of the control parameter, infinitely large and vanishing, and find …

We investigate the presence of topological structures and multiple phase transitions in the O
(3)-sigma model with the gauge field governed by Maxwell's term and subject to a so-called …

A bstract We find supersymmetric extensions of the half-BPS soliton-impurity models in (1+
1) dimensions which preserve half of the\(\mathcal {N}\)= 1 supersymmetry. This is related to …

We investigate the existence of self-dual configurations in the restricted gauged baby
Skyrme model enlarged with a Z 2–symmetry, which introduces a real scalar field. For such …

We study the existence of Bogomol'nyi-Prasad-Sommerfield (BPS) configurations in a
restricted baby Skyrme-Maxwell enlarged via the inclusion of a nontrivial magnetic …

N ¼ 1 supersymmetric extension of the baby Skyrme model Page 1 N ¼ 1 supersymmetric
extension of the baby Skyrme model C. Adam,1 JM Queiruga,1 J. Sanchez-Guillen,1 and A …

We show that the Bogomol'nyi-Prasad-Sommerfield (BPS) property is a generic feature of all
models in (1+ 1) dimensions that does not put any restriction on the action. Here, by BPS …