4.2 Article

Variational derivation of the Camassa-Holm shallow water equation

Journal

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
Volume 14, Issue 3, Pages 303-312

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.2991/jnmp.2007.14.3.1

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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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