Parametrically driven pure-quartic solitons

TL;DR

This paper introduces and analyzes pure-quartic solitons driven parametrically in systems with higher-order dispersion, revealing their stability, dynamics, and elastic collision properties.

Contribution

It reports the existence of quiescent and moving parametrically driven pure-quartic solitons in full systems, expanding understanding beyond previous second-order dispersion models.

Findings

Existence of stable quiescent and moving pure-quartic solitons.

Identification of stability domains in parameter space.

Collisions between stable solitons are elastic.

Abstract

Parametrically driven solitons are self-trapped modes in various physical settings, including optics, magnetics, etc. So far, the analysis was focused on the existence, stability, and dynamics of such solitons in systems including the second-order group-velocity dispersion (GVD), linear loss, parametric gain, and cubic nonlinearity. Here, we report the existence of quiescent parametrically driven pure-quartic solitons (PDPQSs) in the full system, and moving PDPQSs in the absence of losses. A systematic analysis reveals stability domains for the solitons in the system's parameter space. Evolution of unstable states is explored too, and it is demonstrated that collisions between traveling stable PDPQSs are elastic.