Thursday, February 23, 2012

1202.5006 (Delia Ionescu-Kruse)

Variational derivation of two-component Camassa-Holm shallow water

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.
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