Asymptotic Dynamics of Ripples

Details Asymptotic Dynamics of Ripples Asymptotic Dynamics of Ripples

2000-01-31

arxiv.org/abs/nlin/0001069v1

Nonlinear Sciences

Pattern Formation and Solitons

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Scientific paper

A new nonlinear equation governing asymptotic dynamics of ripples is derived by using a short wave perturbative expansion on a generalized version of the Green-Naghdi system. It admits peakon solutions with amplitude, velocity and width in interrelation and static compacton solutions with amplitude and width in interrelation. Short wave pattern formation is shown to result from a balance between linear dispersion and nonlinearity.

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