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Variational derivation of the Camassa-Holm shallow water equation

Journal of Nonlinear Mathematical Physics (2007) 14(3) 311-320
DOI: 10.2991/jnmp.2007.14.3.1
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Abstract

We describe the physical hypothesis in which an approximate model of water waves is obtained. For an irrotational unidirectional shallow water now, we derive the CamassaHolm equation by a variational approach in the Lagrangian formalism.

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Ionescu-Kruse, D. (2007). Variational derivation of the Camassa-Holm shallow water equation. Journal of Nonlinear Mathematical Physics, 14(3), 311–320. https://doi.org/10.2991/jnmp.2007.14.3.1

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