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

A bstract It is show that one can derive a novel BPS bound for the gauged Non-Linear-
Sigma-Model (NLSM) Maxwell theory in (3+ 1) dimensions which can actually be saturated …

The low energy limit of QCD admits (crystals of) superconducting Baryonic tubes at finite
density. We begin with the Maxwell-gauged Skyrme model in (3+ 1)-dimensions (which is …

Between space crystals and amorphous materials there exists a third class of aperiodic
structures which lack translational symmetry but reveal long-range order. They are dubbed …

By analogy with the formation of space crystals, crystalline structures can also appear in the
time domain. While in the case of space crystals we often ask about periodic arrangements …

A consistent ansatz for the Skyrme model in (3+ 1 3+ 1)-dimensions which is able to reduce
the complete set of Skyrme field equations to just one equation for the profile in situations in …

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 …