The Affective Factors on the Uncertainty in the Collisions of the Soliton Solutions of the Double Field sine-Gordon System

Abstract

Inspired by the well known sine-Gordon equation, we present a symmetric coupled system of two real scalar fields in $1+1$ dimensions. There are three different topological soliton solutions which be labelled according to their topological charges. These solitons can absorb some localized non-dispersive wave packets in collision processes. It will be shown numerically, during collisions between solitons, there will be an uncertainty which originates from the amount of the maximum amplitude and arbitrary initial phases of the trapped wave packets.

References in corpus (3)

• Multicomponent long-wave--short-wave resonance interaction system: Bright solitons, energy-sharing collisions, and resonant solitons
• Does the dynamics of sine-Gordon solitons predict active regions of DNA?
• Internal Modes of Solitons and Near-Integrable Highly-Dispersive Nonlinear Systems

Cited by in corpus (2)

• Scattering of kinks in the $B{\phi }^4$ model
• The role of the massless phantom term in the stability of a non-topological soliton solution