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arXiv · 1010.1932

On the inconsistency of the Camassa-Holm model with the shallow water theory

Rikesh Bhatt·Alexander V Mikhailov
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Abstract

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.

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Rikesh Bhatt, Alexander V Mikhailov. 2010-10-10. On the inconsistency of the Camassa-Holm model with the shallow water theory. https://arxiv.org/abs/1010.1932

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