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Mathematical, numerical and experimental study of solitary waves

机译:孤立波的数学,数值和实验研究

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The note discusses the motion of solitary waves on the free surface of a layer of water. The rigorous results for the existence of solitary-wave solutions of exact governing equations are given. To generate such surface waves, a moving bump placed at the bottom or a pressure source on the free surface is used. A model equation, called forced Korteweg-de Vries (FKdV) equation, is numerically studied and multi-solitary-wave solutions are obtained. Then, the numerical solutions are compared with experimental results using a water tank with a moving bump at the bottom.
机译:该注意讨论了孤立波在一层水的自由表面上的运动。给出了精确控制方程孤立波解的严格结果。为了产生这种表面波,使用放置在自由表面上的底部或压力源处的移动凸块。一种模型方程,称为强制korteweg-de VRIES(FKDV)方程,在数值上研究,获得了多孤立波解决方案。然后,将数值溶液与使用水箱的实验结果进行比较,底部的移动凸块。

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