{'fraction_non_alphanumeric': 0.020260492040520984, 'fraction_numerical': 0.00723589001447178, 'mean_word_length': 5.59047619047619, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Nonlinear Decay Of High Order Optical Vortices In Anisotropic Optical Media

Vortical excitations with quantized circulation appear in superfluids, superconductors, and nonlinear optics in the presence of a repulsive nonlinearity. The nonlinear Schrodinger equation (NLS) has been used extensively to describe vortex solitons in two transverse dimensions, as was done first in the context of vortex lines in superfluids by Ginzburg and Pitaevskii.1 Much recent attention has been attracted by vortices and vortex solitons in nonlinear optics.2 Kerr type optical media with a cubic, isotropic, and local nonlinearity have been shown experimentally to support stable (2 + 1)D vortex solitons.3