Variational derivation of the Camassa-Holm shallow water equation

Details Variational derivation of the Camassa-Holm shallow water equation Variational derivation of the Camassa-Holm shallow water equation

2007-11-29

arxiv.org/abs/0711.4692v1

Journal of Nonlinear Mathematical Physics, 14 (2007), 303-312

Physics

Mathematical Physics

10 pages

Scientific paper

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

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