{'fraction_non_alphanumeric': 0.007683863885839737, 'fraction_numerical': 0.0, 'mean_word_length': 4.96078431372549, '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}}
Water Wave Generation Due to Initial Disturbance in Presence of an Inertial Surface in an Ocean with Porous Bed

The proposed research paper is concerned with the generation of water waves due to initial disturbances at the upper surface of a fluid assumed to be covered by an inertial surface. The inertial surface is composed of thin but uniform distribution of non-interacting floating material. The fluid is assumed to be of uniform finite depth but the bed is considered to be porous. The Fourier and Laplace transform techniques have been used as the mathematical analysis to obtain the depression of the inertial surface in the form of an infinite integral. The inertial surface depression is evaluated asymptotically for large time and distance using method of stationary phase for an initial disturbance concentrated at a point. They are also depicted graphically and appropriate conclusions are drawn.