We study the scattering of the φ 8 kinks off each other, namely, we consider those φ 8 kinks
that have power-law asymptotics. The slow power-law fall-off leads to a long-range …

This article reflects on the Klein–Gordon model, which frequently arises in the fields of solid-
state physics and quantum field theories. We analytically delve into solitons and composite …

We investigate the presence of magnetic monopoles in a model that extends the non-
Abelian model originally studied by't Hooft and Polyakov with the inclusion of an extra …

In this work we deal with non-topological solutions of the Q-ball type in two space–time
dimensions, in models described by a single complex scalar field that engenders global …

In this work we consider the scalar field model with a false vacuum proposed by Avelar et
al.(2008)[27]. The model depends on a parameter s> 0. The model has unstable …

We study a family of Maxwell–Higgs models, described by the inclusion of a function of the
scalar field that represent generalized magnetic permeability. We search for vortex …

We introduce and investigate new models of the Chern–Simons type in the three-
dimensional spacetime, focusing on the existence of compact vortices. The models are …

A bstract We study various aspects of the scattering of generalized compact oscillons in the
signum-Gordon model in (1+ 1) dimensions. Using covariance of the model we construct …

This work deals with charged nontopological solutions that appear in relativistic models
described by a single complex scalar field in two-dimensional spacetime. We study a model …

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