The paper explores potential surface gravity waves in an ideal fluid described by Lam-bert W functions. The shape of the undisturbed free surface is examined, depending on the magnitude of the wave. Characteristics of the deformed surface are derived. The influence of the wave amplitude on the dispersion characteristics, as well as on the group and phase velocities, is investigated.
Свойства потенциальных нелинейных поверхностных волн Ламберта
В работе исследуются потенциальные поверхностные гравитационные нелинейные волны в идеальной жидкости, описываемые W-функциями Ламберта. Анализируется форма свободной поверхности в зависимости от амплитуды волны. Получены характеристики формы возмущенной поверхности. Исследовано влияние амплитуды волны на дисперсионные характеристики, а также на групповую и фазовую скорости.
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