Asymptotic Dynamics of Ripples
Pattern Formation and Solitons
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0001069,
title = {Asymptotic Dynamics of Ripples},
author = {M. A. Manna},
journal= {arXiv preprint arXiv:nlin/0001069},
year = {2007}
}
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