Dissipative switching waves and solitons in the systems with spontaneously broken symmetry

TL;DR

This paper investigates how spontaneous symmetry breaking in a nonlinear waveguide leads to bistability and the formation of stable dissipative solitons and switching waves, with numerical methods demonstrating their creation and stability.

Contribution

It introduces a novel analysis of dissipative switching waves and solitons arising from symmetry breaking in nonlinear waveguides, including creation protocols and stability verification.

Findings

Stable resting and moving dissipative solitons can form in the system.

Switching waves connect different symmetry states and can be stable.

Numerical simulations confirm the creation and stability of these localized waves.

Abstract

The paper addresses the bistability caused by spontaneous symmetry breaking bifurcation in a one-dimensional periodically corrugated nonlinear waveguide pumped by coherent light at normal incidence. The formation and the stability of the switching waves connecting the states of different symmetries are studied numerically. It is shown that the switching waves can form stable resting and moving bound states (dissipative solitons). The protocols of the creation of discussed nonlinear localized waves are suggested and verified by numerical simulations.