95 research outputs found
Rotating soliton solutions in nonlocal nonlinear media
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.Comment: 14 pages, 9 figures, 3 movies (external links
Tracking azimuthons in nonlocal nonlinear media
We study the formation of azimuthons, i.e., rotating spatial solitons, in
media with nonlocal focusing nonlinearity. We show that whole families of these
solutions can be found by considering internal modes of classical non-rotating
stationary solutions, namely vortex solitons. This offers an exhaustive method
to identify azimuthons in a given nonlocal medium. We demonstrate formation of
azimuthons of different vorticities and explain their properties by considering
the strongly nonlocal limit of accessible solitons.Comment: 11 pages, 7 figure
Solitons in Nonlinear Media with an Infinite Range of Nonlocality: First Observation of Coherent Elliptic Solitons and of Vortex-Ring Solitons
Optimal Afforestation Contracts with Asymmetric Information on Private Environmental Benefits
FORMATION AND COLLISION OF (1 + 1)-DIMENSIONAL DIPOLE SOLITONS IN THE STRONGLY NON-LOCAL NON-LINEAR MEDIA
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