1. On the inconsistency of the Camassa-Holm model with the shallow water theory
- Author
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Bhatt, Rikesh and Mikhailov, Alexander V
- Subjects
Nonlinear Sciences::Exactly Solvable and Integrable Systems ,Nonlinear Sciences - Exactly Solvable and Integrable Systems ,Mathematics::Analysis of PDEs ,Fluid Dynamics (physics.flu-dyn) ,FOS: Physical sciences ,Physics - Fluid Dynamics ,Mathematical Physics (math-ph) ,Exactly Solvable and Integrable Systems (nlin.SI) ,Nonlinear Sciences::Pattern Formation and Solitons ,Mathematical Physics ,Physics::Atmospheric and Oceanic Physics - 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., Comment: 8 pages, 3 figures
- Published
- 2010
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