{'fraction_non_alphanumeric': 0.00967741935483871, 'fraction_numerical': 0.0, 'mean_word_length': 5.21, '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 dynamics of laser wake fields in underdense plasmas

Our new completely nonlinear hydrodynamic numerical code permits to study the temporal evolution of wake fields and a laser pulse in conditions quite near to the wavebreaking or cavitation. It is shown that a short narrow laser pulse of the relativistic intensity generates so strong plasma wave that the electron trajectories intersection can appear. In the case of longer laser pluses, those are undergone the self-modulation effect, the cavitation arises behind a laser pulse in the region of the wavefield even for the nonrelativistic pulse intensities.