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 …

Two hyperbolic-deformed field theoretic models are discussed. In both of them, due to the
effect of specific deformation function on the well known φ 4 and φ 6 models, their internal …

We study stability properties of kinks for the (1+ 1)-dimensional nonlinear scalar field theory
models ∂ _t^ 2 ϕ-∂ _x^ 2 ϕ+ W'(ϕ)= 0,\quad (t, x) ∈ R * R.∂ t 2 ϕ-∂ x 2 ϕ+ W′(ϕ)= 0,(t …

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 investigate soliton collisions in a one-parameter family of scalar field theories in
1+ 1 dimensions which was first discussed by Christ and Lee [1]. The models have a sextic …

The study of kink interactions in nonlinear Klein-Gordon models in $1+ 1$-dimensions has a
time-honored history. Until a few years ago, it was arguably considered a fairly mature field …

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 …

In this paper the interaction between the shape modes of the wobbling kinks arising in the
family of two-component MSTB scalar field theory models is studied. The spectrum of the …

We consider a family of field-theoretic models with a real scalar field in (1+ 1)-dimensional
space–time. The field dynamics in each model is determined by a polynomial potential with …