In this paper, we will describe recent advances in analytical methods to construct exact
solutions of the Skyrme model (and its generalizations) representing inhomogeneous …

In this manuscript, we discuss a remarkable phenomenon concerning nonlinear and
nonintegrable field theories in (3+ 1) dimensions, living at finite density and possessing …

We construct analytic (3+ 1)-dimensional inhomogeneous and topologically nontrivial pion
systems using chiral perturbation theory. We discuss the effect of isospin asymmetry with …

We extend the (gauged) Skyrme model to the case in which the global isospin group (which
usually is taken to be SU (N)) is a generic compact connected Lie group G. We analyze the …

A bstract We construct explicit analytic solutions of the SU (N)-Skyrme model (for generic N)
suitable to describe different phases of nuclear pasta at finite volume in (3+ 1) dimensions …

We construct analytical solutions describing black holes and black strings in the Einstein SU
(N)-nonlinear sigma model in (3+ 1) dimensions. This construction is carried out using the …

We show that the (3+ 1)-dimensional gauged nonlinear sigma model minimally coupled to a
U (1) gauge field possesses analytic solutions representing gauged solitons at finite baryon …

In this work we analize how the inclusion of extra mesonic degrees of freedom affect the
finite density solitons crystals of the Skyrme model. In particular, the first analytic examples of …

We construct the first analytic examples of nonhomogeneous condensates in the Georgi-
Glashow model at finite density in (2+ 1) dimensions. The nonhomogeneous condensates …

We find new exact solutions of the Abelian-Higgs model coupled to general relativity,
characterized by a nonvanishing superconducting current. The solutions correspond to pp …