%0 Journal Article
%T On the inconsistency of the Camassa-Holm model with the shallow water theory
%A Rikesh Bhatt
%A Alexander V Mikhailov
%J Physics
%D 2010
%I arXiv
%X In our paper we show that the Camassa-Holm equation does not represent a long wave asymptotic due to a major inconsistency with the theory of shallow water waves. We state that any solution of the Camassa-Holm equation, which is not asymptotically close to a solution of the Korteweg--de Vries equation is an artefact of the model and irrelevant to the theory of shallow water waves.
%U http://arxiv.org/abs/1010.1932v1