We present a comprehensive review about the various facets of kink solutions with a power
law tail, which have received considerable attention during the last few years. This area of …

We consider the scattering of kinks of the sinh-deformed φ^ 4 φ 4 model, which is obtained
from the well-known φ^ 4 φ 4 model by means of the deformation procedure. Depending on …

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 …

We study the scattering of kink and antikink of the double sine-Gordon model. There is a
critical value of the initial velocity v_ cr v cr of the colliding kinks, which separates different …

We provide examples of a large class of one-dimensional higher-order field theories with
kink solutions which asymptotically have a power law tail either at one end or at both ends …

We study the asymptotic properties of kinks in connection with the deformation procedure.
We show that, upon deformation of the field-theoretic model, the asymptotics of kinks can …

We consider a novel one dimensional model of a logarithmic potential which has super-
super-exponential kink profiles as well as kink tails. We provide analytic kink solutions of the …

We investigate a field-theoretical model that describes the interaction between kinks and
antikinks and between kinks and other heterogeneous fields and impurities. We show that …

We present several one-parameter families of higher-order field theory models some of
which admit explicit kink solutions with an exponential tail while others admit explicit kink …

The interest in the Klein–Gordon equation with different potentials has increased in recent
years due to its possible applications in Cosmology, Hadron Physics and High-Energy …