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

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

2010-10-10

arxiv.org/abs/1010.1932v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages, 3 figures

Scientific paper

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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