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abstract: 'We show that weakly guiding nonlinear waveguides support stable propagation of rotating spatial solitons (azimuthons). We investigate the role of waveguide symmetry on the soliton rotation. We find that azimuthons in circular waveguides always rotate rigidly during propagation and the analytically predicted rotation frequency is in excellent agreement with numerical simulations. On the other hand, azimuthons in square waveguides may experience spatial deformation during propagation. Moreover, we show that there is a critical value for the modulation depth of azimuthons above which solitons just wobble back and forth, and below which they rotate continuously. We explain these dynamics using the concept of energy difference between different orientations of the azimuthon.'
address: |
    $^1$Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Stra[ß]{}e 38, 01187 Dresden, Germany\
    $^2$State Key Laboratory of Transient Optics and Photonics, Xi’an Institute of Optics and Precision Mechanics of Chinese Academy of Sciences, 710119 Xi’an, China\
    $^3$Institute of Condensed Matter Theory and Solid State Optics, Friedrich Schiller University, Max-Wien-Platz 1, 07743 Jena, Germany\
    $^4$Laser Physics Center, Research School of Physics and Engineering, Australian National University, Canberra, ACT 0200, Australia
author:
- 'Yiqi Zhang$^{1,2}$, Stefan Skupin$^{1,3}$, Fabian Maucher$^1$, Arpa Galestian Pour$^3$, Keqing Lu$^{2}$, Wieslaw Królikowski$^4$'
