Collective Coordinate Model of Kink-Antikink Collisions in Theory

NS Manton, K Oleś, T Romańczukiewicz… - Physical Review Letters, 2021 - APS
The fractal velocity pattern in symmetric kink-antikink collisions in ϕ 4 theory is shown to
emerge from a dynamical model with two effective moduli: the kink-antikink separation and …

Kink solutions with power law tails

A Khare, A Saxena - Frontiers in Physics, 2022 - frontiersin.org
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 …

Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories

IC Christov, RJ Decker, A Demirkaya, VA Gani… - … in Nonlinear Science …, 2021 - Elsevier
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 …

Relativistic moduli space for kink collisions

C Adam, NS Manton, K Oles, T Romanczukiewicz… - Physical Review D, 2022 - APS
The moduli space approximation to kink dynamics permits a relativistic generalization if the
Derrick scaling parameter is used as a collective coordinate. We develop a perturbative …

Kink moduli spaces: Collective coordinates reconsidered

NS Manton, K Oleś, T Romańczukiewicz… - Physical Review D, 2021 - APS
Moduli spaces—finite-dimensional, collective coordinate manifolds—for kinks and antikinks
in ϕ 4 theory and sine-Gordon theory are reconsidered. The field theory Lagrangian …

Wobbling kinks in a two-component scalar field theory: Interaction between shape modes

A Alonso-Izquierdo, D Miguélez-Caballero… - Physica D: Nonlinear …, 2023 - Elsevier
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 …

Kink-antikink collisions in a weakly interacting model

C Adam, K Oles, T Romanczukiewicz, A Wereszczynski - Physical Review E, 2020 - APS
Kink-antikink scattering in nonintegrable field theories like ϕ 4 theory is still rather poorly
understood beyond brute-force numerical calculations, even after several decades of …

Scattering of compact kinks

FM Hahne, P Klimas - Journal of High Energy Physics, 2024 - Springer
A bstract We study the scattering processes of kink-antikink and kink-kink pairs in a field
theory model with non-differentiable potential at its minima. The kink-antikink scattering …

Asymmetric scattering between kinks and wobblers

A Alonso-Izquierdo, LM Nieto… - … in Nonlinear Science and …, 2022 - Elsevier
The asymmetric scattering between wobblers and kinks in the standard ϕ 4 model is
numerically investigated in two different scenarios. First, the collision between wobblers with …

Two-field models in the presence of impurities

D Bazeia, MA Liao, MA Marques - Chaos, Solitons & Fractals, 2025 - Elsevier
This work deals with systems of two real scalar fields coupled to impurity functions, meant to
model inhomogeneities often encountered in real physical applications. We investigate the …