Rotating soliton solutions in nonlocal nonlinear media

TL;DR

This paper investigates rotating azimuthon solutions in nonlocal nonlinear media, deriving their properties using variational methods and linking them to classical solitons, providing a comprehensive approach to identify these structures.

Contribution

It introduces a method to approximate azimuthon properties and connects them to known solitons, advancing understanding of rotating wave solutions in nonlocal media.

Findings

Rotating frequency depends on the nonlocal response function.

Families of azimuthons are linked to internal modes of stationary solitons.

Provides a method to identify azimuthons in nonlocal media.

Abstract

We discuss generic properties of rotating nonlinear wave solutions, the so called azimuthons, in nonlocal media. Variational methods allow us to derive approximative values for the rotating frequency, which is shown to depend crucially on the nonlocal response function. Further on, we link families of azimuthons to internal modes of classical non-rotating stationary solutions, namely vortex and multipole solitons. This offers an exhaustive method to identify azimuthons in a given nonlocal medium.