Scattering of Kinks in Noncanonical sine-Gordon Model

TL;DR

This paper numerically investigates how kinks scatter in a noncanonical sine-Gordon model, revealing effects of inner structure on bound states and resonance phenomena, with implications for understanding complex soliton interactions.

Contribution

It introduces a numerical analysis of kink scattering in a noncanonical sine-Gordon model, highlighting the influence of free parameters on energy density structure and scattering outcomes.

Findings

Kink mass decreases monotonically with parameter variation.

Bound states and resonance structures observed in scattering.

Long-lived oscillations and bion formations occur during interactions.

Abstract

In this paper, we numerically study the scattering of kinks in the noncanonical sine-Gordon model using Fourier spectral methods. The model depends on two free parameters, which control the localized inner structure in the energy density and the characteristics of the scattering potential. It has been conjectured that the kink solutions in the noncanonical model possess inner structures in their energy density, and the presence of these yields bound states and resonance structures for some relative velocities between the kink and the antikink. In the numerical study, we observed that the classical kink mass decreases monotonically as the free parameters vary, and yields bion-formations and long-lived oscillations in the scattering of the kink-antikink system.