Soliton Dynamics in a 4D Nonlinear Spinor Field Model under White Noise

Abstract

In this paper, we investigate the soliton solutions of a 4D nonlinear pure spinor fermionic model with forcing and damping under white noise to understand how the dynamic of soler solitons could be affected by external excitations. For this purpose, we simulate the evolution of their with the phase-plane analysis which is one of the most significant methods for investigating the behaviors of nonlinear systems when the methods for calculating analytical solution do not exist.