{'fraction_non_alphanumeric': 0.016107382550335572, 'fraction_numerical': 0.0, 'mean_word_length': 5.7207207207207205, '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}}
Exact solutions for the propagation of light in nonlinear optical media with nonperiodic modulation

In this paper, exact solutions for the nonlinear Schrödinger (NLS) equation with nonperiodic modulation describing propagation of light in nonlinear media, under three sets of transverse modulation forms of the refractive index are presented. Unlike the reported cases with periodic modulation, the novel ones can accurately describe the behaviour of propagation for a light beam in nonperiodic structures. Moreover, a series of new nonlinear effects of light propagation are displayed. Furthermore, the stability of the solutions is discussed numerically, and the results reveal that these solutions are stable to finite initial perturbations.