Weakly dispersive nonlinear gravity waves

@inproceedings{Salmon2005WeaklyDN,
  title={Weakly dispersive nonlinear gravity waves},
  author={R. Salmon},
  year={2005}
}
The equations for gravity waves on the free surface of a laterally unbounded inviscid fluid of uniform density and variable depth under the action of an external pressure are derived through Hamilton’s principle on the assumption that the fluid moves in vertical columns. The resulting equations are equivalent to those of Green & Naghdi (1976). The conservation laws for energy, momentum and potential vorticity are inferred directly from symmetries of the Lagrangian. The potential vorticity… CONTINUE READING
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