Higher order corrections for shallow-water solitary waves: elementary derivation and experiments

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Higher order corrections for shallow-water solitary waves: elementary derivation and experiments

We present an elementary method to obtain the equations of the shallow-water solitary waves in different orders of approximation. The first two of these equations are solved to get the shapes and propagation velocities of the corresponding solitary waves. The first order equation is shown to be equivalent to the Korteweg−de Vries (KdV) equation, while the second order equation is solved numeric...

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ژورنال

عنوان ژورنال: European Journal of Physics

سال: 2009

ISSN: 0143-0807,1361-6404

DOI: 10.1088/0143-0807/30/6/009