English

Variational derivation of the Camassa-Holm shallow water equation

Mathematical Physics 2015-05-13 v1 math.MP

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.

Keywords

Cite

@article{arxiv.0711.4692,
  title  = {Variational derivation of the Camassa-Holm shallow water equation},
  author = {Delia Ionescu-Kruse},
  journal= {arXiv preprint arXiv:0711.4692},
  year   = {2015}
}

Comments

10 pages