Rotating soliton solutions in nonlocal nonlinear 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.

14 pages, 9 figures, 3 movies (external links)

References in corpus (13)

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Cited by in corpus (6)

• Analytical theory for dark soliton interaction in nonlocal nonlinear materials with arbitrary degree of nonlocality
• Discrete Family of Dissipative Soliton Pairs in Mode-Locked Fiber Lasers
• Azimuthons in weakly nonlinear waveguides of different symmetries
• Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schrödinger equation
• Rotating three-dimensional solitons in Bose Einstein condensates with gravity-like attractive nonlocal interaction
• Tracking azimuthons in nonlocal nonlinear media