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Halasz, Gabor B. – European Journal of Physics, 2009
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,…
Descriptors: Factor Structure, Motion, Equations (Mathematics), Theories