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 …

In this Letter, we address the long-range interaction between kinks and antikinks, as well as
kinks and kinks, in φ 2 n+ 4 field theories for n> 1. The kink-antikink interaction is generically …

We present a computational analysis of the long-range interactions of solitary waves in
higher-order field theories. Our vehicle of choice is the φ 8 field theory, although we explore …

In a scalar field theory with a symmetric octic potential having a quartic minimum and two
quadratic minima, kink solutions have long-range tails. We calculate the force between two …

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 collisions of coherent structures in higher-order field-theoretic models, such as the
ϕ 8, ϕ 10 and ϕ 12 ones. The main distinguishing feature, of the example models …

A bstract We studied kink-antikink collisions in (1+ 1)-dimensional spacetime for all Z 2
symmetric ϕ 8 models with four degenerate minima. Such a polynomial model has only one …

We study collisions of two, three, and four kinks of the double sine-Gordon model. The initial
conditions are taken in a special form in order to provide collision of all kinks in one point …

We describe a procedure that contributes to modify the asymptotic behavior of kinks in a
model described by two real scalar fields. The investigation takes advantage of a first-order …

A bstract We find a family of (half) self-dual impurity models such that the self-dual (BPS)
sector is exactly solvable, for any spatial distribution of the impurity, both in the topologically …