Variational derivation of the Camassa-Holm shallow water equation

Abstract

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.

10 pages

References in corpus (1)

• Inverse Scattering Transform for the Camassa-Holm equation

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