1202.5006 (Delia Ionescu-Kruse)

Variational derivation of two-component Camassa-Holm shallow water
system    [PDF]

Delia Ionescu-Kruse

By a variational approach in the Lagrangian formalism, we derive the
nonlinear integrable two-component Camassa-Holm system (1). We show that the
two-component Camassa-Holm system (1) with the plus sign arises as an
approximation to the Euler equations of hydrodynamics for propagation of
irrotational shallow water waves over a flat bed. The Lagrangian used in the
variational derivation is not a metric.

View original: http://arxiv.org/abs/1202.5006